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Finding the Fourth Proportional to 373.71, 559.85 and 265.71

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Solution

The fourth proportional to 373.71, 559.85 and 265.71 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.71 : 559.85 = 265.71 : x
  2. Step 2: Convert to fraction form
    373.71/559.85 = 265.71/x
  3. Step 3: Cross multiply
    373.71x = 559.85 × 265.71
  4. Step 4: Simplify right side
    373.71x = 148,756.41
  5. Step 5: Solve for x
    x = 148,756.41/373.71
  6. Step 6: Final answer
    x = 398.05

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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.