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Finding the Fourth Proportional to 602.75, 831.78 and 337.24

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Solution

The fourth proportional to 602.75, 831.78 and 337.24 is: 465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.75 : 831.78 = 337.24 : x
  2. Step 2: Convert to fraction form
    602.75/831.78 = 337.24/x
  3. Step 3: Cross multiply
    602.75x = 831.78 × 337.24
  4. Step 4: Simplify right side
    602.75x = 280,509.49
  5. Step 5: Solve for x
    x = 280,509.49/602.75
  6. Step 6: Final answer
    x = 465.38

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Half scale
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Double scale
Find fourth proportional to 603.75, 833.16 and 338.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.