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Finding the Fourth Proportional to 588.64, 813.12 and 533.44

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Solution

The fourth proportional to 588.64, 813.12 and 533.44 is: 736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 813.12 = 533.44 : x
  2. Step 2: Convert to fraction form
    588.64/813.12 = 533.44/x
  3. Step 3: Cross multiply
    588.64x = 813.12 × 533.44
  4. Step 4: Simplify right side
    588.64x = 433,750.73
  5. Step 5: Solve for x
    x = 433,750.73/588.64
  6. Step 6: Final answer
    x = 736.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.