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Finding the Fourth Proportional to 562.57, 776.12 and 338.40

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Solution

The fourth proportional to 562.57, 776.12 and 338.40 is: 466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.57 : 776.12 = 338.40 : x
  2. Step 2: Convert to fraction form
    562.57/776.12 = 338.40/x
  3. Step 3: Cross multiply
    562.57x = 776.12 × 338.40
  4. Step 4: Simplify right side
    562.57x = 262,637.32
  5. Step 5: Solve for x
    x = 262,637.32/562.57
  6. Step 6: Final answer
    x = 466.85

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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.