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Finding the Fourth Proportional to 426.06, 587.66 and 278.64

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Solution

The fourth proportional to 426.06, 587.66 and 278.64 is: 384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 587.66 = 278.64 : x
  2. Step 2: Convert to fraction form
    426.06/587.66 = 278.64/x
  3. Step 3: Cross multiply
    426.06x = 587.66 × 278.64
  4. Step 4: Simplify right side
    426.06x = 163,744.19
  5. Step 5: Solve for x
    x = 163,744.19/426.06
  6. Step 6: Final answer
    x = 384.32

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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.