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Finding the Fourth Proportional to 416, 574.24 and 278.40

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Solution

The fourth proportional to 416, 574.24 and 278.40 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 574.24 = 278.40 : x
  2. Step 2: Convert to fraction form
    416/574.24 = 278.40/x
  3. Step 3: Cross multiply
    416x = 574.24 × 278.40
  4. Step 4: Simplify right side
    416x = 159,868.42
  5. Step 5: Solve for x
    x = 159,868.42/416
  6. Step 6: Final answer
    x = 384.30

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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.