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Finding the Fourth Proportional to 521.08, 718.22 and 457.90

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Solution

The fourth proportional to 521.08, 718.22 and 457.90 is: 631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.08 : 718.22 = 457.90 : x
  2. Step 2: Convert to fraction form
    521.08/718.22 = 457.90/x
  3. Step 3: Cross multiply
    521.08x = 718.22 × 457.90
  4. Step 4: Simplify right side
    521.08x = 328,872.94
  5. Step 5: Solve for x
    x = 328,872.94/521.08
  6. Step 6: Final answer
    x = 631.14

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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.