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Finding the Fourth Proportional to 669.56, 924.12 and 389.86

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Solution

The fourth proportional to 669.56, 924.12 and 389.86 is: 538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.56 : 924.12 = 389.86 : x
  2. Step 2: Convert to fraction form
    669.56/924.12 = 389.86/x
  3. Step 3: Cross multiply
    669.56x = 924.12 × 389.86
  4. Step 4: Simplify right side
    669.56x = 360,275.11
  5. Step 5: Solve for x
    x = 360,275.11/669.56
  6. Step 6: Final answer
    x = 538.08

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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.