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Finding the Fourth Proportional to 400.40, 562 and 400.40

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Solution

The fourth proportional to 400.40, 562 and 400.40 is: 562

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 562 = 400.40 : x
  2. Step 2: Convert to fraction form
    400.40/562 = 400.40/x
  3. Step 3: Cross multiply
    400.40x = 562 × 400.40
  4. Step 4: Simplify right side
    400.40x = 225,024.80
  5. Step 5: Solve for x
    x = 225,024.80/400.40
  6. Step 6: Final answer
    x = 562

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.