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Finding the Fourth Proportional to 426.02, 587.72 and 251.06

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Solution

The fourth proportional to 426.02, 587.72 and 251.06 is: 346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.02 : 587.72 = 251.06 : x
  2. Step 2: Convert to fraction form
    426.02/587.72 = 251.06/x
  3. Step 3: Cross multiply
    426.02x = 587.72 × 251.06
  4. Step 4: Simplify right side
    426.02x = 147,550.67
  5. Step 5: Solve for x
    x = 147,550.67/426.02
  6. Step 6: Final answer
    x = 346.35

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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.