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Finding the Fourth Proportional to 462.31, 692.86 and 413.27

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Solution

The fourth proportional to 462.31, 692.86 and 413.27 is: 619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.31 : 692.86 = 413.27 : x
  2. Step 2: Convert to fraction form
    462.31/692.86 = 413.27/x
  3. Step 3: Cross multiply
    462.31x = 692.86 × 413.27
  4. Step 4: Simplify right side
    462.31x = 286,338.25
  5. Step 5: Solve for x
    x = 286,338.25/462.31
  6. Step 6: Final answer
    x = 619.36

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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.