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Finding the Fourth Proportional to 464.55, 692.23 and 449.87

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Solution

The fourth proportional to 464.55, 692.23 and 449.87 is: 670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 692.23 = 449.87 : x
  2. Step 2: Convert to fraction form
    464.55/692.23 = 449.87/x
  3. Step 3: Cross multiply
    464.55x = 692.23 × 449.87
  4. Step 4: Simplify right side
    464.55x = 311,413.51
  5. Step 5: Solve for x
    x = 311,413.51/464.55
  6. Step 6: Final answer
    x = 670.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.