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Finding the Fourth Proportional to 947.34, 1,421.15 and 298.13

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Solution

The fourth proportional to 947.34, 1,421.15 and 298.13 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.34 : 1,421.15 = 298.13 : x
  2. Step 2: Convert to fraction form
    947.34/1,421.15 = 298.13/x
  3. Step 3: Cross multiply
    947.34x = 1,421.15 × 298.13
  4. Step 4: Simplify right side
    947.34x = 423,678.85
  5. Step 5: Solve for x
    x = 423,678.85/947.34
  6. Step 6: Final answer
    x = 447.23

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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.