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Finding the Fourth Proportional to 562.22, 775.78 and 322.91

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Solution

The fourth proportional to 562.22, 775.78 and 322.91 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.22 : 775.78 = 322.91 : x
  2. Step 2: Convert to fraction form
    562.22/775.78 = 322.91/x
  3. Step 3: Cross multiply
    562.22x = 775.78 × 322.91
  4. Step 4: Simplify right side
    562.22x = 250,505.51
  5. Step 5: Solve for x
    x = 250,505.51/562.22
  6. Step 6: Final answer
    x = 445.57

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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.