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Finding the Fourth Proportional to 353.46, 487.35 and 291.24

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Solution

The fourth proportional to 353.46, 487.35 and 291.24 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.46 : 487.35 = 291.24 : x
  2. Step 2: Convert to fraction form
    353.46/487.35 = 291.24/x
  3. Step 3: Cross multiply
    353.46x = 487.35 × 291.24
  4. Step 4: Simplify right side
    353.46x = 141,935.81
  5. Step 5: Solve for x
    x = 141,935.81/353.46
  6. Step 6: Final answer
    x = 401.56

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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.