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Finding the Fourth Proportional to 457.54, 631.46 and 261.03

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Solution

The fourth proportional to 457.54, 631.46 and 261.03 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.54 : 631.46 = 261.03 : x
  2. Step 2: Convert to fraction form
    457.54/631.46 = 261.03/x
  3. Step 3: Cross multiply
    457.54x = 631.46 × 261.03
  4. Step 4: Simplify right side
    457.54x = 164,830.00
  5. Step 5: Solve for x
    x = 164,830.00/457.54
  6. Step 6: Final answer
    x = 360.25

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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.