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Finding the Fourth Proportional to 462.28, 692.14 and 242.44

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Solution

The fourth proportional to 462.28, 692.14 and 242.44 is: 362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.28 : 692.14 = 242.44 : x
  2. Step 2: Convert to fraction form
    462.28/692.14 = 242.44/x
  3. Step 3: Cross multiply
    462.28x = 692.14 × 242.44
  4. Step 4: Simplify right side
    462.28x = 167,802.42
  5. Step 5: Solve for x
    x = 167,802.42/462.28
  6. Step 6: Final answer
    x = 362.99

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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.