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Finding the Fourth Proportional to 471.16, 649.63 and 429.54

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Solution

The fourth proportional to 471.16, 649.63 and 429.54 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.16 : 649.63 = 429.54 : x
  2. Step 2: Convert to fraction form
    471.16/649.63 = 429.54/x
  3. Step 3: Cross multiply
    471.16x = 649.63 × 429.54
  4. Step 4: Simplify right side
    471.16x = 279,042.07
  5. Step 5: Solve for x
    x = 279,042.07/471.16
  6. Step 6: Final answer
    x = 592.24

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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.