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Finding the Fourth Proportional to 971.82, 1,457.80 and 278.46

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Solution

The fourth proportional to 971.82, 1,457.80 and 278.46 is: 417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.82 : 1,457.80 = 278.46 : x
  2. Step 2: Convert to fraction form
    971.82/1,457.80 = 278.46/x
  3. Step 3: Cross multiply
    971.82x = 1,457.80 × 278.46
  4. Step 4: Simplify right side
    971.82x = 405,938.29
  5. Step 5: Solve for x
    x = 405,938.29/971.82
  6. Step 6: Final answer
    x = 417.71

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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.