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Finding the Fourth Proportional to 568.13, 852.80 and 280.17

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Solution

The fourth proportional to 568.13, 852.80 and 280.17 is: 420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.13 : 852.80 = 280.17 : x
  2. Step 2: Convert to fraction form
    568.13/852.80 = 280.17/x
  3. Step 3: Cross multiply
    568.13x = 852.80 × 280.17
  4. Step 4: Simplify right side
    568.13x = 238,927.58
  5. Step 5: Solve for x
    x = 238,927.58/568.13
  6. Step 6: Final answer
    x = 420.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.