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Finding the Fourth Proportional to 586.32, 883.20 and 571.74

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Solution

The fourth proportional to 586.32, 883.20 and 571.74 is: 861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 883.20 = 571.74 : x
  2. Step 2: Convert to fraction form
    586.32/883.20 = 571.74/x
  3. Step 3: Cross multiply
    586.32x = 883.20 × 571.74
  4. Step 4: Simplify right side
    586.32x = 504,960.77
  5. Step 5: Solve for x
    x = 504,960.77/586.32
  6. Step 6: Final answer
    x = 861.24

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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.