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Finding the Fourth Proportional to 510.33, 765.63 and 498.72

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Solution

The fourth proportional to 510.33, 765.63 and 498.72 is: 748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.33 : 765.63 = 498.72 : x
  2. Step 2: Convert to fraction form
    510.33/765.63 = 498.72/x
  3. Step 3: Cross multiply
    510.33x = 765.63 × 498.72
  4. Step 4: Simplify right side
    510.33x = 381,834.99
  5. Step 5: Solve for x
    x = 381,834.99/510.33
  6. Step 6: Final answer
    x = 748.21

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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.