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Finding the Fourth Proportional to 402.77, 555.98 and 297.81

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Solution

The fourth proportional to 402.77, 555.98 and 297.81 is: 411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.77 : 555.98 = 297.81 : x
  2. Step 2: Convert to fraction form
    402.77/555.98 = 297.81/x
  3. Step 3: Cross multiply
    402.77x = 555.98 × 297.81
  4. Step 4: Simplify right side
    402.77x = 165,576.59
  5. Step 5: Solve for x
    x = 165,576.59/402.77
  6. Step 6: Final answer
    x = 411.09

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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.