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Finding the Fourth Proportional to 971.23, 1,456.89 and 278.00

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Solution

The fourth proportional to 971.23, 1,456.89 and 278.00 is: 417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.23 : 1,456.89 = 278.00 : x
  2. Step 2: Convert to fraction form
    971.23/1,456.89 = 278.00/x
  3. Step 3: Cross multiply
    971.23x = 1,456.89 × 278.00
  4. Step 4: Simplify right side
    971.23x = 405,006.75
  5. Step 5: Solve for x
    x = 405,006.75/971.23
  6. Step 6: Final answer
    x = 417.01

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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.