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Finding the Fourth Proportional to 560.86, 841.47 and 329.70

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Solution

The fourth proportional to 560.86, 841.47 and 329.70 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 841.47 = 329.70 : x
  2. Step 2: Convert to fraction form
    560.86/841.47 = 329.70/x
  3. Step 3: Cross multiply
    560.86x = 841.47 × 329.70
  4. Step 4: Simplify right side
    560.86x = 277,432.66
  5. Step 5: Solve for x
    x = 277,432.66/560.86
  6. Step 6: Final answer
    x = 494.66

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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.