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Finding the Fourth Proportional to 469.01, 646.79 and 321.68

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Solution

The fourth proportional to 469.01, 646.79 and 321.68 is: 443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.01 : 646.79 = 321.68 : x
  2. Step 2: Convert to fraction form
    469.01/646.79 = 321.68/x
  3. Step 3: Cross multiply
    469.01x = 646.79 × 321.68
  4. Step 4: Simplify right side
    469.01x = 208,061.83
  5. Step 5: Solve for x
    x = 208,061.83/469.01
  6. Step 6: Final answer
    x = 443.62

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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.