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Finding the Fourth Proportional to 462.03, 692.10 and 384.75

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Solution

The fourth proportional to 462.03, 692.10 and 384.75 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.03 : 692.10 = 384.75 : x
  2. Step 2: Convert to fraction form
    462.03/692.10 = 384.75/x
  3. Step 3: Cross multiply
    462.03x = 692.10 × 384.75
  4. Step 4: Simplify right side
    462.03x = 266,285.48
  5. Step 5: Solve for x
    x = 266,285.48/462.03
  6. Step 6: Final answer
    x = 576.34

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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.