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Finding the Fourth Proportional to 566.38, 848.49 and 507.97

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Solution

The fourth proportional to 566.38, 848.49 and 507.97 is: 760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 848.49 = 507.97 : x
  2. Step 2: Convert to fraction form
    566.38/848.49 = 507.97/x
  3. Step 3: Cross multiply
    566.38x = 848.49 × 507.97
  4. Step 4: Simplify right side
    566.38x = 431,007.47
  5. Step 5: Solve for x
    x = 431,007.47/566.38
  6. Step 6: Final answer
    x = 760.99

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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.