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Finding the Fourth Proportional to 509.50, 703.22 and 288.46

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Solution

The fourth proportional to 509.50, 703.22 and 288.46 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 703.22 = 288.46 : x
  2. Step 2: Convert to fraction form
    509.50/703.22 = 288.46/x
  3. Step 3: Cross multiply
    509.50x = 703.22 × 288.46
  4. Step 4: Simplify right side
    509.50x = 202,850.84
  5. Step 5: Solve for x
    x = 202,850.84/509.50
  6. Step 6: Final answer
    x = 398.14

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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.