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Finding the Fourth Proportional to 520.03, 718.30 and 458.07

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Solution

The fourth proportional to 520.03, 718.30 and 458.07 is: 632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.03 : 718.30 = 458.07 : x
  2. Step 2: Convert to fraction form
    520.03/718.30 = 458.07/x
  3. Step 3: Cross multiply
    520.03x = 718.30 × 458.07
  4. Step 4: Simplify right side
    520.03x = 329,031.68
  5. Step 5: Solve for x
    x = 329,031.68/520.03
  6. Step 6: Final answer
    x = 632.72

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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.