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Finding the Fourth Proportional to 669.75, 924.33 and 389.94

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Solution

The fourth proportional to 669.75, 924.33 and 389.94 is: 538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.75 : 924.33 = 389.94 : x
  2. Step 2: Convert to fraction form
    669.75/924.33 = 389.94/x
  3. Step 3: Cross multiply
    669.75x = 924.33 × 389.94
  4. Step 4: Simplify right side
    669.75x = 360,433.24
  5. Step 5: Solve for x
    x = 360,433.24/669.75
  6. Step 6: Final answer
    x = 538.16

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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.