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Finding the Fourth Proportional to 738.32, 1,107.37 and 430.31

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Solution

The fourth proportional to 738.32, 1,107.37 and 430.31 is: 645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.32 : 1,107.37 = 430.31 : x
  2. Step 2: Convert to fraction form
    738.32/1,107.37 = 430.31/x
  3. Step 3: Cross multiply
    738.32x = 1,107.37 × 430.31
  4. Step 4: Simplify right side
    738.32x = 476,515.69
  5. Step 5: Solve for x
    x = 476,515.69/738.32
  6. Step 6: Final answer
    x = 645.41

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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.