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Finding the Fourth Proportional to 588.48, 884 and 497.36

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Solution

The fourth proportional to 588.48, 884 and 497.36 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 884 = 497.36 : x
  2. Step 2: Convert to fraction form
    588.48/884 = 497.36/x
  3. Step 3: Cross multiply
    588.48x = 884 × 497.36
  4. Step 4: Simplify right side
    588.48x = 439,666.24
  5. Step 5: Solve for x
    x = 439,666.24/588.48
  6. Step 6: Final answer
    x = 747.12

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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.