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Finding the Fourth Proportional to 457.69, 631.50 and 261.16

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Solution

The fourth proportional to 457.69, 631.50 and 261.16 is: 360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.69 : 631.50 = 261.16 : x
  2. Step 2: Convert to fraction form
    457.69/631.50 = 261.16/x
  3. Step 3: Cross multiply
    457.69x = 631.50 × 261.16
  4. Step 4: Simplify right side
    457.69x = 164,922.54
  5. Step 5: Solve for x
    x = 164,922.54/457.69
  6. Step 6: Final answer
    x = 360.34

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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.