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Finding the Fourth Proportional to 652.82, 978.90 and 306.31

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Solution

The fourth proportional to 652.82, 978.90 and 306.31 is: 459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.82 : 978.90 = 306.31 : x
  2. Step 2: Convert to fraction form
    652.82/978.90 = 306.31/x
  3. Step 3: Cross multiply
    652.82x = 978.90 × 306.31
  4. Step 4: Simplify right side
    652.82x = 299,848.08
  5. Step 5: Solve for x
    x = 299,848.08/652.82
  6. Step 6: Final answer
    x = 459.32

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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.