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Finding the Fourth Proportional to 498.24, 685.76 and 424.32

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Solution

The fourth proportional to 498.24, 685.76 and 424.32 is: 584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 685.76 = 424.32 : x
  2. Step 2: Convert to fraction form
    498.24/685.76 = 424.32/x
  3. Step 3: Cross multiply
    498.24x = 685.76 × 424.32
  4. Step 4: Simplify right side
    498.24x = 290,981.68
  5. Step 5: Solve for x
    x = 290,981.68/498.24
  6. Step 6: Final answer
    x = 584.02

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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.