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Finding the Fourth Proportional to 410.85, 567.14 and 263.70

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Solution

The fourth proportional to 410.85, 567.14 and 263.70 is: 364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.85 : 567.14 = 263.70 : x
  2. Step 2: Convert to fraction form
    410.85/567.14 = 263.70/x
  3. Step 3: Cross multiply
    410.85x = 567.14 × 263.70
  4. Step 4: Simplify right side
    410.85x = 149,553.50
  5. Step 5: Solve for x
    x = 149,553.50/410.85
  6. Step 6: Final answer
    x = 364.01

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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.