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Finding the Fourth Proportional to 669.70, 924.15 and 420.94

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Solution

The fourth proportional to 669.70, 924.15 and 420.94 is: 580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.70 : 924.15 = 420.94 : x
  2. Step 2: Convert to fraction form
    669.70/924.15 = 420.94/x
  3. Step 3: Cross multiply
    669.70x = 924.15 × 420.94
  4. Step 4: Simplify right side
    669.70x = 389,011.70
  5. Step 5: Solve for x
    x = 389,011.70/669.70
  6. Step 6: Final answer
    x = 580.87

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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.