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Finding the Fourth Proportional to 923.19, 1,385.03 and 403.24

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Solution

The fourth proportional to 923.19, 1,385.03 and 403.24 is: 604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.19 : 1,385.03 = 403.24 : x
  2. Step 2: Convert to fraction form
    923.19/1,385.03 = 403.24/x
  3. Step 3: Cross multiply
    923.19x = 1,385.03 × 403.24
  4. Step 4: Simplify right side
    923.19x = 558,495.74
  5. Step 5: Solve for x
    x = 558,495.74/923.19
  6. Step 6: Final answer
    x = 604.96

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Why These Related Problems?

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