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Finding the Fourth Proportional to 406.53, 560.95 and 229.46

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Solution

The fourth proportional to 406.53, 560.95 and 229.46 is: 316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.53 : 560.95 = 229.46 : x
  2. Step 2: Convert to fraction form
    406.53/560.95 = 229.46/x
  3. Step 3: Cross multiply
    406.53x = 560.95 × 229.46
  4. Step 4: Simplify right side
    406.53x = 128,715.59
  5. Step 5: Solve for x
    x = 128,715.59/406.53
  6. Step 6: Final answer
    x = 316.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.