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Finding the Fourth Proportional to 562, 775.56 and 329.14

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Solution

The fourth proportional to 562, 775.56 and 329.14 is: 454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 775.56 = 329.14 : x
  2. Step 2: Convert to fraction form
    562/775.56 = 329.14/x
  3. Step 3: Cross multiply
    562x = 775.56 × 329.14
  4. Step 4: Simplify right side
    562x = 255,267.82
  5. Step 5: Solve for x
    x = 255,267.82/562
  6. Step 6: Final answer
    x = 454.21

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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.