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Finding the Fourth Proportional to 561.57, 841.96 and 214.61

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Solution

The fourth proportional to 561.57, 841.96 and 214.61 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.57 : 841.96 = 214.61 : x
  2. Step 2: Convert to fraction form
    561.57/841.96 = 214.61/x
  3. Step 3: Cross multiply
    561.57x = 841.96 × 214.61
  4. Step 4: Simplify right side
    561.57x = 180,695.95
  5. Step 5: Solve for x
    x = 180,695.95/561.57
  6. Step 6: Final answer
    x = 321.77

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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.