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Finding the Fourth Proportional to 649.34, 972.46 and 356.39

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Solution

The fourth proportional to 649.34, 972.46 and 356.39 is: 533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 972.46 = 356.39 : x
  2. Step 2: Convert to fraction form
    649.34/972.46 = 356.39/x
  3. Step 3: Cross multiply
    649.34x = 972.46 × 356.39
  4. Step 4: Simplify right side
    649.34x = 346,574.13
  5. Step 5: Solve for x
    x = 346,574.13/649.34
  6. Step 6: Final answer
    x = 533.73

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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.