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Finding the Fourth Proportional to 923.24, 1,385.16 and 436.22

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Solution

The fourth proportional to 923.24, 1,385.16 and 436.22 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.24 : 1,385.16 = 436.22 : x
  2. Step 2: Convert to fraction form
    923.24/1,385.16 = 436.22/x
  3. Step 3: Cross multiply
    923.24x = 1,385.16 × 436.22
  4. Step 4: Simplify right side
    923.24x = 604,232.31
  5. Step 5: Solve for x
    x = 604,232.31/923.24
  6. Step 6: Final answer
    x = 654.47

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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.