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Finding the Fourth Proportional to 562.40, 844.67 and 466.23

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Solution

The fourth proportional to 562.40, 844.67 and 466.23 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.40 : 844.67 = 466.23 : x
  2. Step 2: Convert to fraction form
    562.40/844.67 = 466.23/x
  3. Step 3: Cross multiply
    562.40x = 844.67 × 466.23
  4. Step 4: Simplify right side
    562.40x = 393,811.66
  5. Step 5: Solve for x
    x = 393,811.66/562.40
  6. Step 6: Final answer
    x = 700.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.