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Finding the Fourth Proportional to 410.49, 566.44 and 263.16

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Solution

The fourth proportional to 410.49, 566.44 and 263.16 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 566.44 = 263.16 : x
  2. Step 2: Convert to fraction form
    410.49/566.44 = 263.16/x
  3. Step 3: Cross multiply
    410.49x = 566.44 × 263.16
  4. Step 4: Simplify right side
    410.49x = 149,064.35
  5. Step 5: Solve for x
    x = 149,064.35/410.49
  6. Step 6: Final answer
    x = 363.14

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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.