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Finding the Fourth Proportional to 378.76, 567.24 and 287.24

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Solution

The fourth proportional to 378.76, 567.24 and 287.24 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.76 : 567.24 = 287.24 : x
  2. Step 2: Convert to fraction form
    378.76/567.24 = 287.24/x
  3. Step 3: Cross multiply
    378.76x = 567.24 × 287.24
  4. Step 4: Simplify right side
    378.76x = 162,934.02
  5. Step 5: Solve for x
    x = 162,934.02/378.76
  6. Step 6: Final answer
    x = 430.18

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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.