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Finding the Fourth Proportional to 648.69, 972.57 and 356.33

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Solution

The fourth proportional to 648.69, 972.57 and 356.33 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.69 : 972.57 = 356.33 : x
  2. Step 2: Convert to fraction form
    648.69/972.57 = 356.33/x
  3. Step 3: Cross multiply
    648.69x = 972.57 × 356.33
  4. Step 4: Simplify right side
    648.69x = 346,555.87
  5. Step 5: Solve for x
    x = 346,555.87/648.69
  6. Step 6: Final answer
    x = 534.24

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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.