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Finding the Fourth Proportional to 971.56, 1,457.62 and 322.48

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Solution

The fourth proportional to 971.56, 1,457.62 and 322.48 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.56 : 1,457.62 = 322.48 : x
  2. Step 2: Convert to fraction form
    971.56/1,457.62 = 322.48/x
  3. Step 3: Cross multiply
    971.56x = 1,457.62 × 322.48
  4. Step 4: Simplify right side
    971.56x = 470,053.30
  5. Step 5: Solve for x
    x = 470,053.30/971.56
  6. Step 6: Final answer
    x = 483.81

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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.