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Finding the Fourth Proportional to 974.85, 1,462.51 and 325.59

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Solution

The fourth proportional to 974.85, 1,462.51 and 325.59 is: 488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.85 : 1,462.51 = 325.59 : x
  2. Step 2: Convert to fraction form
    974.85/1,462.51 = 325.59/x
  3. Step 3: Cross multiply
    974.85x = 1,462.51 × 325.59
  4. Step 4: Simplify right side
    974.85x = 476,178.63
  5. Step 5: Solve for x
    x = 476,178.63/974.85
  6. Step 6: Final answer
    x = 488.46

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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.