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Finding the Fourth Proportional to 488.88, 731.93 and 257.24

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Solution

The fourth proportional to 488.88, 731.93 and 257.24 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.88 : 731.93 = 257.24 : x
  2. Step 2: Convert to fraction form
    488.88/731.93 = 257.24/x
  3. Step 3: Cross multiply
    488.88x = 731.93 × 257.24
  4. Step 4: Simplify right side
    488.88x = 188,281.67
  5. Step 5: Solve for x
    x = 188,281.67/488.88
  6. Step 6: Final answer
    x = 385.13

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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.