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Finding the Fourth Proportional to 357.78, 494.28 and 288.12

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Solution

The fourth proportional to 357.78, 494.28 and 288.12 is: 398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.78 : 494.28 = 288.12 : x
  2. Step 2: Convert to fraction form
    357.78/494.28 = 288.12/x
  3. Step 3: Cross multiply
    357.78x = 494.28 × 288.12
  4. Step 4: Simplify right side
    357.78x = 142,411.95
  5. Step 5: Solve for x
    x = 142,411.95/357.78
  6. Step 6: Final answer
    x = 398.04

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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.