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Finding the Fourth Proportional to 402.76, 555.81 and 225.74

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Solution

The fourth proportional to 402.76, 555.81 and 225.74 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 555.81 = 225.74 : x
  2. Step 2: Convert to fraction form
    402.76/555.81 = 225.74/x
  3. Step 3: Cross multiply
    402.76x = 555.81 × 225.74
  4. Step 4: Simplify right side
    402.76x = 125,465.77
  5. Step 5: Solve for x
    x = 125,465.77/402.76
  6. Step 6: Final answer
    x = 311.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.