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Finding the Fourth Proportional to 669.64, 924.21 and 389.83

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Solution

The fourth proportional to 669.64, 924.21 and 389.83 is: 538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 924.21 = 389.83 : x
  2. Step 2: Convert to fraction form
    669.64/924.21 = 389.83/x
  3. Step 3: Cross multiply
    669.64x = 924.21 × 389.83
  4. Step 4: Simplify right side
    669.64x = 360,284.78
  5. Step 5: Solve for x
    x = 360,284.78/669.64
  6. Step 6: Final answer
    x = 538.03

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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.