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Finding the Fourth Proportional to 971.67, 1,457.14 and 322.26

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Solution

The fourth proportional to 971.67, 1,457.14 and 322.26 is: 483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,457.14 = 322.26 : x
  2. Step 2: Convert to fraction form
    971.67/1,457.14 = 322.26/x
  3. Step 3: Cross multiply
    971.67x = 1,457.14 × 322.26
  4. Step 4: Simplify right side
    971.67x = 469,577.94
  5. Step 5: Solve for x
    x = 469,577.94/971.67
  6. Step 6: Final answer
    x = 483.27

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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.