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Finding the Fourth Proportional to 562.59, 776.18 and 338.42

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Solution

The fourth proportional to 562.59, 776.18 and 338.42 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.59 : 776.18 = 338.42 : x
  2. Step 2: Convert to fraction form
    562.59/776.18 = 338.42/x
  3. Step 3: Cross multiply
    562.59x = 776.18 × 338.42
  4. Step 4: Simplify right side
    562.59x = 262,669.26
  5. Step 5: Solve for x
    x = 262,669.26/562.59
  6. Step 6: Final answer
    x = 466.89

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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.