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Finding the Fourth Proportional to 509.50, 703.04 and 288.44

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Solution

The fourth proportional to 509.50, 703.04 and 288.44 is: 398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 703.04 = 288.44 : x
  2. Step 2: Convert to fraction form
    509.50/703.04 = 288.44/x
  3. Step 3: Cross multiply
    509.50x = 703.04 × 288.44
  4. Step 4: Simplify right side
    509.50x = 202,786.25
  5. Step 5: Solve for x
    x = 202,786.25/509.50
  6. Step 6: Final answer
    x = 398.01

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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.