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Finding the Fourth Proportional to 561.32, 841.56 and 214.52

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Solution

The fourth proportional to 561.32, 841.56 and 214.52 is: 321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.32 : 841.56 = 214.52 : x
  2. Step 2: Convert to fraction form
    561.32/841.56 = 214.52/x
  3. Step 3: Cross multiply
    561.32x = 841.56 × 214.52
  4. Step 4: Simplify right side
    561.32x = 180,531.45
  5. Step 5: Solve for x
    x = 180,531.45/561.32
  6. Step 6: Final answer
    x = 321.62

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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.