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Finding the Fourth Proportional to 340.80, 509.28 and 244.80

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Solution

The fourth proportional to 340.80, 509.28 and 244.80 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.80 : 509.28 = 244.80 : x
  2. Step 2: Convert to fraction form
    340.80/509.28 = 244.80/x
  3. Step 3: Cross multiply
    340.80x = 509.28 × 244.80
  4. Step 4: Simplify right side
    340.80x = 124,671.74
  5. Step 5: Solve for x
    x = 124,671.74/340.80
  6. Step 6: Final answer
    x = 365.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.