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Finding the Fourth Proportional to 923.70, 1,385.07 and 307.34

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Solution

The fourth proportional to 923.70, 1,385.07 and 307.34 is: 460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,385.07 = 307.34 : x
  2. Step 2: Convert to fraction form
    923.70/1,385.07 = 307.34/x
  3. Step 3: Cross multiply
    923.70x = 1,385.07 × 307.34
  4. Step 4: Simplify right side
    923.70x = 425,687.41
  5. Step 5: Solve for x
    x = 425,687.41/923.70
  6. Step 6: Final answer
    x = 460.85

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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.