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Finding the Fourth Proportional to 283.34, 424.49 and 242.34

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Solution

The fourth proportional to 283.34, 424.49 and 242.34 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.34 : 424.49 = 242.34 : x
  2. Step 2: Convert to fraction form
    283.34/424.49 = 242.34/x
  3. Step 3: Cross multiply
    283.34x = 424.49 × 242.34
  4. Step 4: Simplify right side
    283.34x = 102,868.10
  5. Step 5: Solve for x
    x = 102,868.10/283.34
  6. Step 6: Final answer
    x = 363.05

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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.