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Finding the Fourth Proportional to 669.74, 924.02 and 421.09

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Solution

The fourth proportional to 669.74, 924.02 and 421.09 is: 580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.74 : 924.02 = 421.09 : x
  2. Step 2: Convert to fraction form
    669.74/924.02 = 421.09/x
  3. Step 3: Cross multiply
    669.74x = 924.02 × 421.09
  4. Step 4: Simplify right side
    669.74x = 389,095.58
  5. Step 5: Solve for x
    x = 389,095.58/669.74
  6. Step 6: Final answer
    x = 580.97

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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.