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Finding the Fourth Proportional to 510.52, 764.42 and 348.52

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Solution

The fourth proportional to 510.52, 764.42 and 348.52 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 764.42 = 348.52 : x
  2. Step 2: Convert to fraction form
    510.52/764.42 = 348.52/x
  3. Step 3: Cross multiply
    510.52x = 764.42 × 348.52
  4. Step 4: Simplify right side
    510.52x = 266,415.66
  5. Step 5: Solve for x
    x = 266,415.66/510.52
  6. Step 6: Final answer
    x = 521.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.