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Finding the Fourth Proportional to 494.16, 683.28 and 432.72

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Solution

The fourth proportional to 494.16, 683.28 and 432.72 is: 598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 683.28 = 432.72 : x
  2. Step 2: Convert to fraction form
    494.16/683.28 = 432.72/x
  3. Step 3: Cross multiply
    494.16x = 683.28 × 432.72
  4. Step 4: Simplify right side
    494.16x = 295,668.92
  5. Step 5: Solve for x
    x = 295,668.92/494.16
  6. Step 6: Final answer
    x = 598.33

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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.