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Finding the Fourth Proportional to 652.38, 978.34 and 305.65

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Solution

The fourth proportional to 652.38, 978.34 and 305.65 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.38 : 978.34 = 305.65 : x
  2. Step 2: Convert to fraction form
    652.38/978.34 = 305.65/x
  3. Step 3: Cross multiply
    652.38x = 978.34 × 305.65
  4. Step 4: Simplify right side
    652.38x = 299,029.62
  5. Step 5: Solve for x
    x = 299,029.62/652.38
  6. Step 6: Final answer
    x = 458.37

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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.