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Finding the Fourth Proportional to 971.66, 1,457.46 and 278.34

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Solution

The fourth proportional to 971.66, 1,457.46 and 278.34 is: 417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.66 : 1,457.46 = 278.34 : x
  2. Step 2: Convert to fraction form
    971.66/1,457.46 = 278.34/x
  3. Step 3: Cross multiply
    971.66x = 1,457.46 × 278.34
  4. Step 4: Simplify right side
    971.66x = 405,663.95
  5. Step 5: Solve for x
    x = 405,663.95/971.66
  6. Step 6: Final answer
    x = 417.49

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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.