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Finding the Fourth Proportional to 457.60, 629.94 and 402.16

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Solution

The fourth proportional to 457.60, 629.94 and 402.16 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.60 : 629.94 = 402.16 : x
  2. Step 2: Convert to fraction form
    457.60/629.94 = 402.16/x
  3. Step 3: Cross multiply
    457.60x = 629.94 × 402.16
  4. Step 4: Simplify right side
    457.60x = 253,336.67
  5. Step 5: Solve for x
    x = 253,336.67/457.60
  6. Step 6: Final answer
    x = 553.62

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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.