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Finding the Fourth Proportional to 974.16, 1,461.30 and 357.90

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Solution

The fourth proportional to 974.16, 1,461.30 and 357.90 is: 536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,461.30 = 357.90 : x
  2. Step 2: Convert to fraction form
    974.16/1,461.30 = 357.90/x
  3. Step 3: Cross multiply
    974.16x = 1,461.30 × 357.90
  4. Step 4: Simplify right side
    974.16x = 522,999.27
  5. Step 5: Solve for x
    x = 522,999.27/974.16
  6. Step 6: Final answer
    x = 536.87

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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.