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Finding the Fourth Proportional to 971.30, 1,456.86 and 313.40

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Solution

The fourth proportional to 971.30, 1,456.86 and 313.40 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.30 : 1,456.86 = 313.40 : x
  2. Step 2: Convert to fraction form
    971.30/1,456.86 = 313.40/x
  3. Step 3: Cross multiply
    971.30x = 1,456.86 × 313.40
  4. Step 4: Simplify right side
    971.30x = 456,579.92
  5. Step 5: Solve for x
    x = 456,579.92/971.30
  6. Step 6: Final answer
    x = 470.07

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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.