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Finding the Fourth Proportional to 354.32, 488.48 and 291.92

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Solution

The fourth proportional to 354.32, 488.48 and 291.92 is: 402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.32 : 488.48 = 291.92 : x
  2. Step 2: Convert to fraction form
    354.32/488.48 = 291.92/x
  3. Step 3: Cross multiply
    354.32x = 488.48 × 291.92
  4. Step 4: Simplify right side
    354.32x = 142,597.08
  5. Step 5: Solve for x
    x = 142,597.08/354.32
  6. Step 6: Final answer
    x = 402.45

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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.