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Finding the Fourth Proportional to 338.62, 507.24 and 287.36

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Solution

The fourth proportional to 338.62, 507.24 and 287.36 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.62 : 507.24 = 287.36 : x
  2. Step 2: Convert to fraction form
    338.62/507.24 = 287.36/x
  3. Step 3: Cross multiply
    338.62x = 507.24 × 287.36
  4. Step 4: Simplify right side
    338.62x = 145,760.49
  5. Step 5: Solve for x
    x = 145,760.49/338.62
  6. Step 6: Final answer
    x = 430.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.