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Finding the Fourth Proportional to 588.12, 882.36 and 577.32

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Solution

The fourth proportional to 588.12, 882.36 and 577.32 is: 866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 882.36 = 577.32 : x
  2. Step 2: Convert to fraction form
    588.12/882.36 = 577.32/x
  3. Step 3: Cross multiply
    588.12x = 882.36 × 577.32
  4. Step 4: Simplify right side
    588.12x = 509,404.08
  5. Step 5: Solve for x
    x = 509,404.08/588.12
  6. Step 6: Final answer
    x = 866.16

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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.