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Finding the Fourth Proportional to 520.10, 716.28 and 508.76

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Solution

The fourth proportional to 520.10, 716.28 and 508.76 is: 700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 716.28 = 508.76 : x
  2. Step 2: Convert to fraction form
    520.10/716.28 = 508.76/x
  3. Step 3: Cross multiply
    520.10x = 716.28 × 508.76
  4. Step 4: Simplify right side
    520.10x = 364,414.61
  5. Step 5: Solve for x
    x = 364,414.61/520.10
  6. Step 6: Final answer
    x = 700.66

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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.