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Finding the Fourth Proportional to 970.84, 1,456.33 and 277.57

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Solution

The fourth proportional to 970.84, 1,456.33 and 277.57 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.84 : 1,456.33 = 277.57 : x
  2. Step 2: Convert to fraction form
    970.84/1,456.33 = 277.57/x
  3. Step 3: Cross multiply
    970.84x = 1,456.33 × 277.57
  4. Step 4: Simplify right side
    970.84x = 404,233.52
  5. Step 5: Solve for x
    x = 404,233.52/970.84
  6. Step 6: Final answer
    x = 416.38

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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.