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Finding the Fourth Proportional to 669.69, 924.13 and 421

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Solution

The fourth proportional to 669.69, 924.13 and 421 is: 580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.69 : 924.13 = 421 : x
  2. Step 2: Convert to fraction form
    669.69/924.13 = 421/x
  3. Step 3: Cross multiply
    669.69x = 924.13 × 421
  4. Step 4: Simplify right side
    669.69x = 389,058.73
  5. Step 5: Solve for x
    x = 389,058.73/669.69
  6. Step 6: Final answer
    x = 580.95

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