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Finding the Fourth Proportional to 971.10, 1,456.38 and 393.84

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Solution

The fourth proportional to 971.10, 1,456.38 and 393.84 is: 590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.10 : 1,456.38 = 393.84 : x
  2. Step 2: Convert to fraction form
    971.10/1,456.38 = 393.84/x
  3. Step 3: Cross multiply
    971.10x = 1,456.38 × 393.84
  4. Step 4: Simplify right side
    971.10x = 573,580.70
  5. Step 5: Solve for x
    x = 573,580.70/971.10
  6. Step 6: Final answer
    x = 590.65

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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.