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Finding the Fourth Proportional to 462.75, 692.04 and 353.10

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Solution

The fourth proportional to 462.75, 692.04 and 353.10 is: 528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 692.04 = 353.10 : x
  2. Step 2: Convert to fraction form
    462.75/692.04 = 353.10/x
  3. Step 3: Cross multiply
    462.75x = 692.04 × 353.10
  4. Step 4: Simplify right side
    462.75x = 244,359.32
  5. Step 5: Solve for x
    x = 244,359.32/462.75
  6. Step 6: Final answer
    x = 528.06

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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.