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Finding the Fourth Proportional to 952.24, 1,428.51 and 432.47

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Solution

The fourth proportional to 952.24, 1,428.51 and 432.47 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.24 : 1,428.51 = 432.47 : x
  2. Step 2: Convert to fraction form
    952.24/1,428.51 = 432.47/x
  3. Step 3: Cross multiply
    952.24x = 1,428.51 × 432.47
  4. Step 4: Simplify right side
    952.24x = 617,787.72
  5. Step 5: Solve for x
    x = 617,787.72/952.24
  6. Step 6: Final answer
    x = 648.77

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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.