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Finding the Fourth Proportional to 602.25, 831.11 and 340.34

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Solution

The fourth proportional to 602.25, 831.11 and 340.34 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.25 : 831.11 = 340.34 : x
  2. Step 2: Convert to fraction form
    602.25/831.11 = 340.34/x
  3. Step 3: Cross multiply
    602.25x = 831.11 × 340.34
  4. Step 4: Simplify right side
    602.25x = 282,854.12
  5. Step 5: Solve for x
    x = 282,854.12/602.25
  6. Step 6: Final answer
    x = 469.66

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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.