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Finding the Fourth Proportional to 971.40, 1,456.96 and 415.76

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Solution

The fourth proportional to 971.40, 1,456.96 and 415.76 is: 623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.40 : 1,456.96 = 415.76 : x
  2. Step 2: Convert to fraction form
    971.40/1,456.96 = 415.76/x
  3. Step 3: Cross multiply
    971.40x = 1,456.96 × 415.76
  4. Step 4: Simplify right side
    971.40x = 605,745.69
  5. Step 5: Solve for x
    x = 605,745.69/971.40
  6. Step 6: Final answer
    x = 623.58

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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.