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Finding the Fourth Proportional to 645.24, 967.08 and 462.36

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Solution

The fourth proportional to 645.24, 967.08 and 462.36 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 967.08 = 462.36 : x
  2. Step 2: Convert to fraction form
    645.24/967.08 = 462.36/x
  3. Step 3: Cross multiply
    645.24x = 967.08 × 462.36
  4. Step 4: Simplify right side
    645.24x = 447,139.11
  5. Step 5: Solve for x
    x = 447,139.11/645.24
  6. Step 6: Final answer
    x = 692.98

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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.