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Finding the Fourth Proportional to 509.97, 703.70 and 288.95

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Solution

The fourth proportional to 509.97, 703.70 and 288.95 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 703.70 = 288.95 : x
  2. Step 2: Convert to fraction form
    509.97/703.70 = 288.95/x
  3. Step 3: Cross multiply
    509.97x = 703.70 × 288.95
  4. Step 4: Simplify right side
    509.97x = 203,329.15
  5. Step 5: Solve for x
    x = 203,329.15/509.97
  6. Step 6: Final answer
    x = 398.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.