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Finding the Fourth Proportional to 306.56, 423.54 and 291.56

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Solution

The fourth proportional to 306.56, 423.54 and 291.56 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 423.54 = 291.56 : x
  2. Step 2: Convert to fraction form
    306.56/423.54 = 291.56/x
  3. Step 3: Cross multiply
    306.56x = 423.54 × 291.56
  4. Step 4: Simplify right side
    306.56x = 123,487.32
  5. Step 5: Solve for x
    x = 123,487.32/306.56
  6. Step 6: Final answer
    x = 402.82

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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.