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Finding the Fourth Proportional to 484.46, 722.94 and 432.54

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Solution

The fourth proportional to 484.46, 722.94 and 432.54 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.46 : 722.94 = 432.54 : x
  2. Step 2: Convert to fraction form
    484.46/722.94 = 432.54/x
  3. Step 3: Cross multiply
    484.46x = 722.94 × 432.54
  4. Step 4: Simplify right side
    484.46x = 312,700.47
  5. Step 5: Solve for x
    x = 312,700.47/484.46
  6. Step 6: Final answer
    x = 645.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.