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Finding the Fourth Proportional to 488.27, 730.98 and 256.61

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Solution

The fourth proportional to 488.27, 730.98 and 256.61 is: 384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.27 : 730.98 = 256.61 : x
  2. Step 2: Convert to fraction form
    488.27/730.98 = 256.61/x
  3. Step 3: Cross multiply
    488.27x = 730.98 × 256.61
  4. Step 4: Simplify right side
    488.27x = 187,573.12
  5. Step 5: Solve for x
    x = 187,573.12/488.27
  6. Step 6: Final answer
    x = 384.16

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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.