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Finding the Fourth Proportional to 457.65, 631.46 and 261.23

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Solution

The fourth proportional to 457.65, 631.46 and 261.23 is: 360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 631.46 = 261.23 : x
  2. Step 2: Convert to fraction form
    457.65/631.46 = 261.23/x
  3. Step 3: Cross multiply
    457.65x = 631.46 × 261.23
  4. Step 4: Simplify right side
    457.65x = 164,953.79
  5. Step 5: Solve for x
    x = 164,953.79/457.65
  6. Step 6: Final answer
    x = 360.44

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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.