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Finding the Fourth Proportional to 510.96, 705.24 and 497.82

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Solution

The fourth proportional to 510.96, 705.24 and 497.82 is: 687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 705.24 = 497.82 : x
  2. Step 2: Convert to fraction form
    510.96/705.24 = 497.82/x
  3. Step 3: Cross multiply
    510.96x = 705.24 × 497.82
  4. Step 4: Simplify right side
    510.96x = 351,082.58
  5. Step 5: Solve for x
    x = 351,082.58/510.96
  6. Step 6: Final answer
    x = 687.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.