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Finding the Fourth Proportional to 839.64, 1,258.46 and 291.52

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Solution

The fourth proportional to 839.64, 1,258.46 and 291.52 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.64 : 1,258.46 = 291.52 : x
  2. Step 2: Convert to fraction form
    839.64/1,258.46 = 291.52/x
  3. Step 3: Cross multiply
    839.64x = 1,258.46 × 291.52
  4. Step 4: Simplify right side
    839.64x = 366,861.66
  5. Step 5: Solve for x
    x = 366,861.66/839.64
  6. Step 6: Final answer
    x = 436.93

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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.