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Finding the Fourth Proportional to 462.53, 692.57 and 245.45

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Solution

The fourth proportional to 462.53, 692.57 and 245.45 is: 367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.53 : 692.57 = 245.45 : x
  2. Step 2: Convert to fraction form
    462.53/692.57 = 245.45/x
  3. Step 3: Cross multiply
    462.53x = 692.57 × 245.45
  4. Step 4: Simplify right side
    462.53x = 169,986.62
  5. Step 5: Solve for x
    x = 169,986.62/462.53
  6. Step 6: Final answer
    x = 367.52

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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.