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Finding the Fourth Proportional to 588.59, 881.93 and 345.32

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Solution

The fourth proportional to 588.59, 881.93 and 345.32 is: 517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.59 : 881.93 = 345.32 : x
  2. Step 2: Convert to fraction form
    588.59/881.93 = 345.32/x
  3. Step 3: Cross multiply
    588.59x = 881.93 × 345.32
  4. Step 4: Simplify right side
    588.59x = 304,544.52
  5. Step 5: Solve for x
    x = 304,544.52/588.59
  6. Step 6: Final answer
    x = 517.42

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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.