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Finding the Fourth Proportional to 583.20, 874.80 and 498.24

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Solution

The fourth proportional to 583.20, 874.80 and 498.24 is: 747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.20 : 874.80 = 498.24 : x
  2. Step 2: Convert to fraction form
    583.20/874.80 = 498.24/x
  3. Step 3: Cross multiply
    583.20x = 874.80 × 498.24
  4. Step 4: Simplify right side
    583.20x = 435,860.35
  5. Step 5: Solve for x
    x = 435,860.35/583.20
  6. Step 6: Final answer
    x = 747.36

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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.