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Finding the Fourth Proportional to 378.61, 567.47 and 335.36

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Solution

The fourth proportional to 378.61, 567.47 and 335.36 is: 502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.61 : 567.47 = 335.36 : x
  2. Step 2: Convert to fraction form
    378.61/567.47 = 335.36/x
  3. Step 3: Cross multiply
    378.61x = 567.47 × 335.36
  4. Step 4: Simplify right side
    378.61x = 190,309.00
  5. Step 5: Solve for x
    x = 190,309.00/378.61
  6. Step 6: Final answer
    x = 502.66

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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.