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Finding the Fourth Proportional to 602.25, 831.06 and 340.26

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Solution

The fourth proportional to 602.25, 831.06 and 340.26 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.25 : 831.06 = 340.26 : x
  2. Step 2: Convert to fraction form
    602.25/831.06 = 340.26/x
  3. Step 3: Cross multiply
    602.25x = 831.06 × 340.26
  4. Step 4: Simplify right side
    602.25x = 282,776.48
  5. Step 5: Solve for x
    x = 282,776.48/602.25
  6. Step 6: Final answer
    x = 469.53

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Similar ratio
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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.