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Finding the Fourth Proportional to 972.68, 1,459.08 and 305.52

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Solution

The fourth proportional to 972.68, 1,459.08 and 305.52 is: 458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.68 : 1,459.08 = 305.52 : x
  2. Step 2: Convert to fraction form
    972.68/1,459.08 = 305.52/x
  3. Step 3: Cross multiply
    972.68x = 1,459.08 × 305.52
  4. Step 4: Simplify right side
    972.68x = 445,778.12
  5. Step 5: Solve for x
    x = 445,778.12/972.68
  6. Step 6: Final answer
    x = 458.30

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Why These Related Problems?

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