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Finding the Fourth Proportional to 947.33, 1,420.98 and 253.98

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Solution

The fourth proportional to 947.33, 1,420.98 and 253.98 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.33 : 1,420.98 = 253.98 : x
  2. Step 2: Convert to fraction form
    947.33/1,420.98 = 253.98/x
  3. Step 3: Cross multiply
    947.33x = 1,420.98 × 253.98
  4. Step 4: Simplify right side
    947.33x = 360,893.40
  5. Step 5: Solve for x
    x = 360,893.40/947.33
  6. Step 6: Final answer
    x = 380.96

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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.