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Finding the Fourth Proportional to 460.99, 692.65 and 296.56

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Solution

The fourth proportional to 460.99, 692.65 and 296.56 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.99 : 692.65 = 296.56 : x
  2. Step 2: Convert to fraction form
    460.99/692.65 = 296.56/x
  3. Step 3: Cross multiply
    460.99x = 692.65 × 296.56
  4. Step 4: Simplify right side
    460.99x = 205,413.52
  5. Step 5: Solve for x
    x = 205,413.52/460.99
  6. Step 6: Final answer
    x = 445.59

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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.