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Finding the Fourth Proportional to 898.11, 1,346.35 and 349.92

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Solution

The fourth proportional to 898.11, 1,346.35 and 349.92 is: 524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.11 : 1,346.35 = 349.92 : x
  2. Step 2: Convert to fraction form
    898.11/1,346.35 = 349.92/x
  3. Step 3: Cross multiply
    898.11x = 1,346.35 × 349.92
  4. Step 4: Simplify right side
    898.11x = 471,114.79
  5. Step 5: Solve for x
    x = 471,114.79/898.11
  6. Step 6: Final answer
    x = 524.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.