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Finding the Fourth Proportional to 462.78, 692.73 and 365.58

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Solution

The fourth proportional to 462.78, 692.73 and 365.58 is: 547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 692.73 = 365.58 : x
  2. Step 2: Convert to fraction form
    462.78/692.73 = 365.58/x
  3. Step 3: Cross multiply
    462.78x = 692.73 × 365.58
  4. Step 4: Simplify right side
    462.78x = 253,248.23
  5. Step 5: Solve for x
    x = 253,248.23/462.78
  6. Step 6: Final answer
    x = 547.23

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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.