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Finding the Fourth Proportional to 462.36, 692.47 and 299.55

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Solution

The fourth proportional to 462.36, 692.47 and 299.55 is: 448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.36 : 692.47 = 299.55 : x
  2. Step 2: Convert to fraction form
    462.36/692.47 = 299.55/x
  3. Step 3: Cross multiply
    462.36x = 692.47 × 299.55
  4. Step 4: Simplify right side
    462.36x = 207,429.31
  5. Step 5: Solve for x
    x = 207,429.31/462.36
  6. Step 6: Final answer
    x = 448.63

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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.