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Finding the Fourth Proportional to 947.32, 1,420.28 and 297.68

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Solution

The fourth proportional to 947.32, 1,420.28 and 297.68 is: 446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.32 : 1,420.28 = 297.68 : x
  2. Step 2: Convert to fraction form
    947.32/1,420.28 = 297.68/x
  3. Step 3: Cross multiply
    947.32x = 1,420.28 × 297.68
  4. Step 4: Simplify right side
    947.32x = 422,788.95
  5. Step 5: Solve for x
    x = 422,788.95/947.32
  6. Step 6: Final answer
    x = 446.30

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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.