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Finding the Fourth Proportional to 923.33, 1,385.00 and 538.31

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Solution

The fourth proportional to 923.33, 1,385.00 and 538.31 is: 807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.33 : 1,385.00 = 538.31 : x
  2. Step 2: Convert to fraction form
    923.33/1,385.00 = 538.31/x
  3. Step 3: Cross multiply
    923.33x = 1,385.00 × 538.31
  4. Step 4: Simplify right side
    923.33x = 745,562.14
  5. Step 5: Solve for x
    x = 745,562.14/923.33
  6. Step 6: Final answer
    x = 807.47

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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.