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Finding the Fourth Proportional to 602.19, 831.25 and 471.24

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Solution

The fourth proportional to 602.19, 831.25 and 471.24 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.19 : 831.25 = 471.24 : x
  2. Step 2: Convert to fraction form
    602.19/831.25 = 471.24/x
  3. Step 3: Cross multiply
    602.19x = 831.25 × 471.24
  4. Step 4: Simplify right side
    602.19x = 391,718.25
  5. Step 5: Solve for x
    x = 391,718.25/602.19
  6. Step 6: Final answer
    x = 650.49

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