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Finding the Fourth Proportional to 458.66, 687.65 and 294.31

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Solution

The fourth proportional to 458.66, 687.65 and 294.31 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.66 : 687.65 = 294.31 : x
  2. Step 2: Convert to fraction form
    458.66/687.65 = 294.31/x
  3. Step 3: Cross multiply
    458.66x = 687.65 × 294.31
  4. Step 4: Simplify right side
    458.66x = 202,382.76
  5. Step 5: Solve for x
    x = 202,382.76/458.66
  6. Step 6: Final answer
    x = 441.25

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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.