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Finding the Fourth Proportional to 426.51, 643.31 and 375.79

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Solution

The fourth proportional to 426.51, 643.31 and 375.79 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.51 : 643.31 = 375.79 : x
  2. Step 2: Convert to fraction form
    426.51/643.31 = 375.79/x
  3. Step 3: Cross multiply
    426.51x = 643.31 × 375.79
  4. Step 4: Simplify right side
    426.51x = 241,748.80
  5. Step 5: Solve for x
    x = 241,748.80/426.51
  6. Step 6: Final answer
    x = 566.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.