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Finding the Fourth Proportional to 434.15, 649.44 and 356.24

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Solution

The fourth proportional to 434.15, 649.44 and 356.24 is: 532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.15 : 649.44 = 356.24 : x
  2. Step 2: Convert to fraction form
    434.15/649.44 = 356.24/x
  3. Step 3: Cross multiply
    434.15x = 649.44 × 356.24
  4. Step 4: Simplify right side
    434.15x = 231,356.42
  5. Step 5: Solve for x
    x = 231,356.42/434.15
  6. Step 6: Final answer
    x = 532.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.