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Finding the Fourth Proportional to 463.23, 692.79 and 352.29

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Solution

The fourth proportional to 463.23, 692.79 and 352.29 is: 526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.23 : 692.79 = 352.29 : x
  2. Step 2: Convert to fraction form
    463.23/692.79 = 352.29/x
  3. Step 3: Cross multiply
    463.23x = 692.79 × 352.29
  4. Step 4: Simplify right side
    463.23x = 244,062.99
  5. Step 5: Solve for x
    x = 244,062.99/463.23
  6. Step 6: Final answer
    x = 526.87

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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.