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Finding the Fourth Proportional to 375.84, 563.82 and 278.52

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Solution

The fourth proportional to 375.84, 563.82 and 278.52 is: 417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 563.82 = 278.52 : x
  2. Step 2: Convert to fraction form
    375.84/563.82 = 278.52/x
  3. Step 3: Cross multiply
    375.84x = 563.82 × 278.52
  4. Step 4: Simplify right side
    375.84x = 157,035.15
  5. Step 5: Solve for x
    x = 157,035.15/375.84
  6. Step 6: Final answer
    x = 417.82

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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.