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Finding the Fourth Proportional to 510.87, 762.57 and 467.58

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Solution

The fourth proportional to 510.87, 762.57 and 467.58 is: 697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.87 : 762.57 = 467.58 : x
  2. Step 2: Convert to fraction form
    510.87/762.57 = 467.58/x
  3. Step 3: Cross multiply
    510.87x = 762.57 × 467.58
  4. Step 4: Simplify right side
    510.87x = 356,562.48
  5. Step 5: Solve for x
    x = 356,562.48/510.87
  6. Step 6: Final answer
    x = 697.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.