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Finding the Fourth Proportional to 457.40, 631.22 and 260.90

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Solution

The fourth proportional to 457.40, 631.22 and 260.90 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 631.22 = 260.90 : x
  2. Step 2: Convert to fraction form
    457.40/631.22 = 260.90/x
  3. Step 3: Cross multiply
    457.40x = 631.22 × 260.90
  4. Step 4: Simplify right side
    457.40x = 164,680.84
  5. Step 5: Solve for x
    x = 164,680.84/457.40
  6. Step 6: Final answer
    x = 360.04

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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.