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Finding the Fourth Proportional to 586.48, 811.92 and 575.38

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Solution

The fourth proportional to 586.48, 811.92 and 575.38 is: 796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.48 : 811.92 = 575.38 : x
  2. Step 2: Convert to fraction form
    586.48/811.92 = 575.38/x
  3. Step 3: Cross multiply
    586.48x = 811.92 × 575.38
  4. Step 4: Simplify right side
    586.48x = 467,162.53
  5. Step 5: Solve for x
    x = 467,162.53/586.48
  6. Step 6: Final answer
    x = 796.55

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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.