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Finding the Fourth Proportional to 464.48, 692.94 and 451.94

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Solution

The fourth proportional to 464.48, 692.94 and 451.94 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 692.94 = 451.94 : x
  2. Step 2: Convert to fraction form
    464.48/692.94 = 451.94/x
  3. Step 3: Cross multiply
    464.48x = 692.94 × 451.94
  4. Step 4: Simplify right side
    464.48x = 313,167.30
  5. Step 5: Solve for x
    x = 313,167.30/464.48
  6. Step 6: Final answer
    x = 674.23

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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.