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Finding the Fourth Proportional to 562.38, 776.09 and 329.64

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Solution

The fourth proportional to 562.38, 776.09 and 329.64 is: 454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.38 : 776.09 = 329.64 : x
  2. Step 2: Convert to fraction form
    562.38/776.09 = 329.64/x
  3. Step 3: Cross multiply
    562.38x = 776.09 × 329.64
  4. Step 4: Simplify right side
    562.38x = 255,830.31
  5. Step 5: Solve for x
    x = 255,830.31/562.38
  6. Step 6: Final answer
    x = 454.91

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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.