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Finding the Fourth Proportional to 462.18, 692.55 and 299.53

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Solution

The fourth proportional to 462.18, 692.55 and 299.53 is: 448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.18 : 692.55 = 299.53 : x
  2. Step 2: Convert to fraction form
    462.18/692.55 = 299.53/x
  3. Step 3: Cross multiply
    462.18x = 692.55 × 299.53
  4. Step 4: Simplify right side
    462.18x = 207,439.50
  5. Step 5: Solve for x
    x = 207,439.50/462.18
  6. Step 6: Final answer
    x = 448.83

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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.