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Finding the Fourth Proportional to 426.76, 588.84 and 261.01

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Solution

The fourth proportional to 426.76, 588.84 and 261.01 is: 360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.76 : 588.84 = 261.01 : x
  2. Step 2: Convert to fraction form
    426.76/588.84 = 261.01/x
  3. Step 3: Cross multiply
    426.76x = 588.84 × 261.01
  4. Step 4: Simplify right side
    426.76x = 153,693.13
  5. Step 5: Solve for x
    x = 153,693.13/426.76
  6. Step 6: Final answer
    x = 360.14

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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.