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Finding the Fourth Proportional to 586.32, 877.38 and 431.88

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Solution

The fourth proportional to 586.32, 877.38 and 431.88 is: 646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 877.38 = 431.88 : x
  2. Step 2: Convert to fraction form
    586.32/877.38 = 431.88/x
  3. Step 3: Cross multiply
    586.32x = 877.38 × 431.88
  4. Step 4: Simplify right side
    586.32x = 378,922.87
  5. Step 5: Solve for x
    x = 378,922.87/586.32
  6. Step 6: Final answer
    x = 646.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.