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Finding the Fourth Proportional to 340.25, 509.63 and 210.28

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Solution

The fourth proportional to 340.25, 509.63 and 210.28 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.25 : 509.63 = 210.28 : x
  2. Step 2: Convert to fraction form
    340.25/509.63 = 210.28/x
  3. Step 3: Cross multiply
    340.25x = 509.63 × 210.28
  4. Step 4: Simplify right side
    340.25x = 107,163.46
  5. Step 5: Solve for x
    x = 107,163.46/340.25
  6. Step 6: Final answer
    x = 314.96

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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.