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Finding the Fourth Proportional to 562, 775.65 and 329.08

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Solution

The fourth proportional to 562, 775.65 and 329.08 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 775.65 = 329.08 : x
  2. Step 2: Convert to fraction form
    562/775.65 = 329.08/x
  3. Step 3: Cross multiply
    562x = 775.65 × 329.08
  4. Step 4: Simplify right side
    562x = 255,250.90
  5. Step 5: Solve for x
    x = 255,250.90/562
  6. Step 6: Final answer
    x = 454.18

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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.