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Finding the Fourth Proportional to 340.28, 509.24 and 210.24

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Solution

The fourth proportional to 340.28, 509.24 and 210.24 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.28 : 509.24 = 210.24 : x
  2. Step 2: Convert to fraction form
    340.28/509.24 = 210.24/x
  3. Step 3: Cross multiply
    340.28x = 509.24 × 210.24
  4. Step 4: Simplify right side
    340.28x = 107,062.62
  5. Step 5: Solve for x
    x = 107,062.62/340.28
  6. Step 6: Final answer
    x = 314.63

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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.