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Finding the Fourth Proportional to 510.25, 763.65 and 424.84

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Solution

The fourth proportional to 510.25, 763.65 and 424.84 is: 635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 763.65 = 424.84 : x
  2. Step 2: Convert to fraction form
    510.25/763.65 = 424.84/x
  3. Step 3: Cross multiply
    510.25x = 763.65 × 424.84
  4. Step 4: Simplify right side
    510.25x = 324,429.07
  5. Step 5: Solve for x
    x = 324,429.07/510.25
  6. Step 6: Final answer
    x = 635.82

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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.