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Finding the Fourth Proportional to 469.47, 647.19 and 329.16

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Solution

The fourth proportional to 469.47, 647.19 and 329.16 is: 453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.47 : 647.19 = 329.16 : x
  2. Step 2: Convert to fraction form
    469.47/647.19 = 329.16/x
  3. Step 3: Cross multiply
    469.47x = 647.19 × 329.16
  4. Step 4: Simplify right side
    469.47x = 213,029.06
  5. Step 5: Solve for x
    x = 213,029.06/469.47
  6. Step 6: Final answer
    x = 453.77

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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.