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Finding the Fourth Proportional to 947.78, 1,421.64 and 298.46

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Solution

The fourth proportional to 947.78, 1,421.64 and 298.46 is: 447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.78 : 1,421.64 = 298.46 : x
  2. Step 2: Convert to fraction form
    947.78/1,421.64 = 298.46/x
  3. Step 3: Cross multiply
    947.78x = 1,421.64 × 298.46
  4. Step 4: Simplify right side
    947.78x = 424,302.67
  5. Step 5: Solve for x
    x = 424,302.67/947.78
  6. Step 6: Final answer
    x = 447.68

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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.