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Finding the Fourth Proportional to 510.74, 765.35 and 459.10

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Solution

The fourth proportional to 510.74, 765.35 and 459.10 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 765.35 = 459.10 : x
  2. Step 2: Convert to fraction form
    510.74/765.35 = 459.10/x
  3. Step 3: Cross multiply
    510.74x = 765.35 × 459.10
  4. Step 4: Simplify right side
    510.74x = 351,372.57
  5. Step 5: Solve for x
    x = 351,372.57/510.74
  6. Step 6: Final answer
    x = 687.97

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Why These Related Problems?

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