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Finding the Fourth Proportional to 354.13, 488.19 and 291.86

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Solution

The fourth proportional to 354.13, 488.19 and 291.86 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.13 : 488.19 = 291.86 : x
  2. Step 2: Convert to fraction form
    354.13/488.19 = 291.86/x
  3. Step 3: Cross multiply
    354.13x = 488.19 × 291.86
  4. Step 4: Simplify right side
    354.13x = 142,483.13
  5. Step 5: Solve for x
    x = 142,483.13/354.13
  6. Step 6: Final answer
    x = 402.35

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