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Finding the Fourth Proportional to 378.10, 565.77 and 312.49

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Solution

The fourth proportional to 378.10, 565.77 and 312.49 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.10 : 565.77 = 312.49 : x
  2. Step 2: Convert to fraction form
    378.10/565.77 = 312.49/x
  3. Step 3: Cross multiply
    378.10x = 565.77 × 312.49
  4. Step 4: Simplify right side
    378.10x = 176,797.47
  5. Step 5: Solve for x
    x = 176,797.47/378.10
  6. Step 6: Final answer
    x = 467.59

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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.