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Finding the Fourth Proportional to 462, 692.80 and 173.40

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Solution

The fourth proportional to 462, 692.80 and 173.40 is: 260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 692.80 = 173.40 : x
  2. Step 2: Convert to fraction form
    462/692.80 = 173.40/x
  3. Step 3: Cross multiply
    462x = 692.80 × 173.40
  4. Step 4: Simplify right side
    462x = 120,131.52
  5. Step 5: Solve for x
    x = 120,131.52/462
  6. Step 6: Final answer
    x = 260.02

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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.