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Finding the Fourth Proportional to 462.09, 692.89 and 409.45

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Solution

The fourth proportional to 462.09, 692.89 and 409.45 is: 613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.09 : 692.89 = 409.45 : x
  2. Step 2: Convert to fraction form
    462.09/692.89 = 409.45/x
  3. Step 3: Cross multiply
    462.09x = 692.89 × 409.45
  4. Step 4: Simplify right side
    462.09x = 283,703.81
  5. Step 5: Solve for x
    x = 283,703.81/462.09
  6. Step 6: Final answer
    x = 613.96

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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.