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Finding the Fourth Proportional to 260.08, 387.29 and 257.21

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Solution

The fourth proportional to 260.08, 387.29 and 257.21 is: 383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.08 : 387.29 = 257.21 : x
  2. Step 2: Convert to fraction form
    260.08/387.29 = 257.21/x
  3. Step 3: Cross multiply
    260.08x = 387.29 × 257.21
  4. Step 4: Simplify right side
    260.08x = 99,612.92
  5. Step 5: Solve for x
    x = 99,612.92/260.08
  6. Step 6: Final answer
    x = 383.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.