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Finding the Fourth Proportional to 457.40, 631.48 and 362.78

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Solution

The fourth proportional to 457.40, 631.48 and 362.78 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 631.48 = 362.78 : x
  2. Step 2: Convert to fraction form
    457.40/631.48 = 362.78/x
  3. Step 3: Cross multiply
    457.40x = 631.48 × 362.78
  4. Step 4: Simplify right side
    457.40x = 229,088.31
  5. Step 5: Solve for x
    x = 229,088.31/457.40
  6. Step 6: Final answer
    x = 500.85

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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.