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Finding the Fourth Proportional to 970.98, 1,456.17 and 277.59

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Solution

The fourth proportional to 970.98, 1,456.17 and 277.59 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.98 : 1,456.17 = 277.59 : x
  2. Step 2: Convert to fraction form
    970.98/1,456.17 = 277.59/x
  3. Step 3: Cross multiply
    970.98x = 1,456.17 × 277.59
  4. Step 4: Simplify right side
    970.98x = 404,218.23
  5. Step 5: Solve for x
    x = 404,218.23/970.98
  6. Step 6: Final answer
    x = 416.30

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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.