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Finding the Fourth Proportional to 971.46, 1,457.17 and 322.16

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Solution

The fourth proportional to 971.46, 1,457.17 and 322.16 is: 483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.46 : 1,457.17 = 322.16 : x
  2. Step 2: Convert to fraction form
    971.46/1,457.17 = 322.16/x
  3. Step 3: Cross multiply
    971.46x = 1,457.17 × 322.16
  4. Step 4: Simplify right side
    971.46x = 469,433.80
  5. Step 5: Solve for x
    x = 469,433.80/971.46
  6. Step 6: Final answer
    x = 483.23

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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.