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Finding the Fourth Proportional to 560.61, 841.22 and 272.05

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Solution

The fourth proportional to 560.61, 841.22 and 272.05 is: 408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.61 : 841.22 = 272.05 : x
  2. Step 2: Convert to fraction form
    560.61/841.22 = 272.05/x
  3. Step 3: Cross multiply
    560.61x = 841.22 × 272.05
  4. Step 4: Simplify right side
    560.61x = 228,849.69
  5. Step 5: Solve for x
    x = 228,849.69/560.61
  6. Step 6: Final answer
    x = 408.22

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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.