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Finding the Fourth Proportional to 565.65, 849.35 and 497.74

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Solution

The fourth proportional to 565.65, 849.35 and 497.74 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 849.35 = 497.74 : x
  2. Step 2: Convert to fraction form
    565.65/849.35 = 497.74/x
  3. Step 3: Cross multiply
    565.65x = 849.35 × 497.74
  4. Step 4: Simplify right side
    565.65x = 422,755.47
  5. Step 5: Solve for x
    x = 422,755.47/565.65
  6. Step 6: Final answer
    x = 747.38

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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.