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Finding the Fourth Proportional to 584.92, 807.27 and 360.88

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Solution

The fourth proportional to 584.92, 807.27 and 360.88 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 807.27 = 360.88 : x
  2. Step 2: Convert to fraction form
    584.92/807.27 = 360.88/x
  3. Step 3: Cross multiply
    584.92x = 807.27 × 360.88
  4. Step 4: Simplify right side
    584.92x = 291,327.60
  5. Step 5: Solve for x
    x = 291,327.60/584.92
  6. Step 6: Final answer
    x = 498.06

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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.