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Finding the Fourth Proportional to 510, 764.76 and 348.24

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Solution

The fourth proportional to 510, 764.76 and 348.24 is: 522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 764.76 = 348.24 : x
  2. Step 2: Convert to fraction form
    510/764.76 = 348.24/x
  3. Step 3: Cross multiply
    510x = 764.76 × 348.24
  4. Step 4: Simplify right side
    510x = 266,320.02
  5. Step 5: Solve for x
    x = 266,320.02/510
  6. Step 6: Final answer
    x = 522.20

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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.