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Finding the Fourth Proportional to 923.64, 1,385.10 and 338.52

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Solution

The fourth proportional to 923.64, 1,385.10 and 338.52 is: 507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.64 : 1,385.10 = 338.52 : x
  2. Step 2: Convert to fraction form
    923.64/1,385.10 = 338.52/x
  3. Step 3: Cross multiply
    923.64x = 1,385.10 × 338.52
  4. Step 4: Simplify right side
    923.64x = 468,884.05
  5. Step 5: Solve for x
    x = 468,884.05/923.64
  6. Step 6: Final answer
    x = 507.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.