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Finding the Fourth Proportional to 458.55, 685.74 and 293.61

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Solution

The fourth proportional to 458.55, 685.74 and 293.61 is: 439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.55 : 685.74 = 293.61 : x
  2. Step 2: Convert to fraction form
    458.55/685.74 = 293.61/x
  3. Step 3: Cross multiply
    458.55x = 685.74 × 293.61
  4. Step 4: Simplify right side
    458.55x = 201,340.12
  5. Step 5: Solve for x
    x = 201,340.12/458.55
  6. Step 6: Final answer
    x = 439.08

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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.