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Finding the Fourth Proportional to 605.24, 908.45 and 469.77

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Solution

The fourth proportional to 605.24, 908.45 and 469.77 is: 705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.24 : 908.45 = 469.77 : x
  2. Step 2: Convert to fraction form
    605.24/908.45 = 469.77/x
  3. Step 3: Cross multiply
    605.24x = 908.45 × 469.77
  4. Step 4: Simplify right side
    605.24x = 426,762.56
  5. Step 5: Solve for x
    x = 426,762.56/605.24
  6. Step 6: Final answer
    x = 705.11

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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.