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Finding the Fourth Proportional to 426.16, 588.06 and 278.94

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Solution

The fourth proportional to 426.16, 588.06 and 278.94 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 588.06 = 278.94 : x
  2. Step 2: Convert to fraction form
    426.16/588.06 = 278.94/x
  3. Step 3: Cross multiply
    426.16x = 588.06 × 278.94
  4. Step 4: Simplify right side
    426.16x = 164,035.66
  5. Step 5: Solve for x
    x = 164,035.66/426.16
  6. Step 6: Final answer
    x = 384.91

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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.