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Finding the Fourth Proportional to 974.90, 1,461.06 and 358.04

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Solution

The fourth proportional to 974.90, 1,461.06 and 358.04 is: 536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.90 : 1,461.06 = 358.04 : x
  2. Step 2: Convert to fraction form
    974.90/1,461.06 = 358.04/x
  3. Step 3: Cross multiply
    974.90x = 1,461.06 × 358.04
  4. Step 4: Simplify right side
    974.90x = 523,117.92
  5. Step 5: Solve for x
    x = 523,117.92/974.90
  6. Step 6: Final answer
    x = 536.59

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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.