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Finding the Fourth Proportional to 469.24, 647.10 and 416.62

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Solution

The fourth proportional to 469.24, 647.10 and 416.62 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.24 : 647.10 = 416.62 : x
  2. Step 2: Convert to fraction form
    469.24/647.10 = 416.62/x
  3. Step 3: Cross multiply
    469.24x = 647.10 × 416.62
  4. Step 4: Simplify right side
    469.24x = 269,594.80
  5. Step 5: Solve for x
    x = 269,594.80/469.24
  6. Step 6: Final answer
    x = 574.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.