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Finding the Fourth Proportional to 974.06, 1,461.14 and 357.47

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Solution

The fourth proportional to 974.06, 1,461.14 and 357.47 is: 536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.06 : 1,461.14 = 357.47 : x
  2. Step 2: Convert to fraction form
    974.06/1,461.14 = 357.47/x
  3. Step 3: Cross multiply
    974.06x = 1,461.14 × 357.47
  4. Step 4: Simplify right side
    974.06x = 522,311.93
  5. Step 5: Solve for x
    x = 522,311.93/974.06
  6. Step 6: Final answer
    x = 536.22

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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.