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Finding the Fourth Proportional to 955.80, 1,432.35 and 378

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Solution

The fourth proportional to 955.80, 1,432.35 and 378 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.80 : 1,432.35 = 378 : x
  2. Step 2: Convert to fraction form
    955.80/1,432.35 = 378/x
  3. Step 3: Cross multiply
    955.80x = 1,432.35 × 378
  4. Step 4: Simplify right side
    955.80x = 541,428.30
  5. Step 5: Solve for x
    x = 541,428.30/955.80
  6. Step 6: Final answer
    x = 566.47

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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.