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Finding the Fourth Proportional to 560.86, 841.41 and 170.85

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Solution

The fourth proportional to 560.86, 841.41 and 170.85 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 841.41 = 170.85 : x
  2. Step 2: Convert to fraction form
    560.86/841.41 = 170.85/x
  3. Step 3: Cross multiply
    560.86x = 841.41 × 170.85
  4. Step 4: Simplify right side
    560.86x = 143,754.90
  5. Step 5: Solve for x
    x = 143,754.90/560.86
  6. Step 6: Final answer
    x = 256.31

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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.