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Finding the Fourth Proportional to 974.17, 1,461.16 and 397

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Solution

The fourth proportional to 974.17, 1,461.16 and 397 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.17 : 1,461.16 = 397 : x
  2. Step 2: Convert to fraction form
    974.17/1,461.16 = 397/x
  3. Step 3: Cross multiply
    974.17x = 1,461.16 × 397
  4. Step 4: Simplify right side
    974.17x = 580,080.52
  5. Step 5: Solve for x
    x = 580,080.52/974.17
  6. Step 6: Final answer
    x = 595.46

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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.