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Finding the Fourth Proportional to 410.54, 565.75 and 262.91

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Solution

The fourth proportional to 410.54, 565.75 and 262.91 is: 362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.54 : 565.75 = 262.91 : x
  2. Step 2: Convert to fraction form
    410.54/565.75 = 262.91/x
  3. Step 3: Cross multiply
    410.54x = 565.75 × 262.91
  4. Step 4: Simplify right side
    410.54x = 148,742.09
  5. Step 5: Solve for x
    x = 148,742.09/410.54
  6. Step 6: Final answer
    x = 362.31

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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.