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Finding the Fourth Proportional to 971.52, 1,457.07 and 313.46

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Solution

The fourth proportional to 971.52, 1,457.07 and 313.46 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.52 : 1,457.07 = 313.46 : x
  2. Step 2: Convert to fraction form
    971.52/1,457.07 = 313.46/x
  3. Step 3: Cross multiply
    971.52x = 1,457.07 × 313.46
  4. Step 4: Simplify right side
    971.52x = 456,725.88
  5. Step 5: Solve for x
    x = 456,725.88/971.52
  6. Step 6: Final answer
    x = 470.11

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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.