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Finding the Fourth Proportional to 380.95, 525.74 and 215.17

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Solution

The fourth proportional to 380.95, 525.74 and 215.17 is: 296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.95 : 525.74 = 215.17 : x
  2. Step 2: Convert to fraction form
    380.95/525.74 = 215.17/x
  3. Step 3: Cross multiply
    380.95x = 525.74 × 215.17
  4. Step 4: Simplify right side
    380.95x = 113,123.71
  5. Step 5: Solve for x
    x = 113,123.71/380.95
  6. Step 6: Final answer
    x = 296.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.