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Finding the Fourth Proportional to 424.12, 633.80 and 400.72

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Solution

The fourth proportional to 424.12, 633.80 and 400.72 is: 598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 633.80 = 400.72 : x
  2. Step 2: Convert to fraction form
    424.12/633.80 = 400.72/x
  3. Step 3: Cross multiply
    424.12x = 633.80 × 400.72
  4. Step 4: Simplify right side
    424.12x = 253,976.34
  5. Step 5: Solve for x
    x = 253,976.34/424.12
  6. Step 6: Final answer
    x = 598.83

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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.