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Finding the Fourth Proportional to 606.84, 909.58 and 462.26

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Solution

The fourth proportional to 606.84, 909.58 and 462.26 is: 692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.84 : 909.58 = 462.26 : x
  2. Step 2: Convert to fraction form
    606.84/909.58 = 462.26/x
  3. Step 3: Cross multiply
    606.84x = 909.58 × 462.26
  4. Step 4: Simplify right side
    606.84x = 420,462.45
  5. Step 5: Solve for x
    x = 420,462.45/606.84
  6. Step 6: Final answer
    x = 692.87

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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.