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Finding the Fourth Proportional to 335.34, 500.22 and 296.46

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Solution

The fourth proportional to 335.34, 500.22 and 296.46 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.34 : 500.22 = 296.46 : x
  2. Step 2: Convert to fraction form
    335.34/500.22 = 296.46/x
  3. Step 3: Cross multiply
    335.34x = 500.22 × 296.46
  4. Step 4: Simplify right side
    335.34x = 148,295.22
  5. Step 5: Solve for x
    x = 148,295.22/335.34
  6. Step 6: Final answer
    x = 442.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.