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Finding the Fourth Proportional to 339.01, 507.83 and 284.01

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Solution

The fourth proportional to 339.01, 507.83 and 284.01 is: 425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.01 : 507.83 = 284.01 : x
  2. Step 2: Convert to fraction form
    339.01/507.83 = 284.01/x
  3. Step 3: Cross multiply
    339.01x = 507.83 × 284.01
  4. Step 4: Simplify right side
    339.01x = 144,227.38
  5. Step 5: Solve for x
    x = 144,227.38/339.01
  6. Step 6: Final answer
    x = 425.43

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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.