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Finding the Fourth Proportional to 426.87, 588.47 and 383.13

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Solution

The fourth proportional to 426.87, 588.47 and 383.13 is: 528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.87 : 588.47 = 383.13 : x
  2. Step 2: Convert to fraction form
    426.87/588.47 = 383.13/x
  3. Step 3: Cross multiply
    426.87x = 588.47 × 383.13
  4. Step 4: Simplify right side
    426.87x = 225,458.60
  5. Step 5: Solve for x
    x = 225,458.60/426.87
  6. Step 6: Final answer
    x = 528.17

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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.