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Finding the Fourth Proportional to 426.32, 588.03 and 278.69

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Solution

The fourth proportional to 426.32, 588.03 and 278.69 is: 384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.32 : 588.03 = 278.69 : x
  2. Step 2: Convert to fraction form
    426.32/588.03 = 278.69/x
  3. Step 3: Cross multiply
    426.32x = 588.03 × 278.69
  4. Step 4: Simplify right side
    426.32x = 163,875.14
  5. Step 5: Solve for x
    x = 163,875.14/426.32
  6. Step 6: Final answer
    x = 384.40

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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.