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Finding the Fourth Proportional to 586.32, 884.12 and 575.36

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Solution

The fourth proportional to 586.32, 884.12 and 575.36 is: 867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 884.12 = 575.36 : x
  2. Step 2: Convert to fraction form
    586.32/884.12 = 575.36/x
  3. Step 3: Cross multiply
    586.32x = 884.12 × 575.36
  4. Step 4: Simplify right side
    586.32x = 508,687.28
  5. Step 5: Solve for x
    x = 508,687.28/586.32
  6. Step 6: Final answer
    x = 867.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.