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Finding the Fourth Proportional to 562.40, 814.40 and 562.40

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Solution

The fourth proportional to 562.40, 814.40 and 562.40 is: 814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.40 : 814.40 = 562.40 : x
  2. Step 2: Convert to fraction form
    562.40/814.40 = 562.40/x
  3. Step 3: Cross multiply
    562.40x = 814.40 × 562.40
  4. Step 4: Simplify right side
    562.40x = 458,018.56
  5. Step 5: Solve for x
    x = 458,018.56/562.40
  6. Step 6: Final answer
    x = 814.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.