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Finding the Fourth Proportional to 520.52, 717.52 and 345.76

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Solution

The fourth proportional to 520.52, 717.52 and 345.76 is: 476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 717.52 = 345.76 : x
  2. Step 2: Convert to fraction form
    520.52/717.52 = 345.76/x
  3. Step 3: Cross multiply
    520.52x = 717.52 × 345.76
  4. Step 4: Simplify right side
    520.52x = 248,089.72
  5. Step 5: Solve for x
    x = 248,089.72/520.52
  6. Step 6: Final answer
    x = 476.62

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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.