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Finding the Fourth Proportional to 509.57, 703.09 and 288.49

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Solution

The fourth proportional to 509.57, 703.09 and 288.49 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.57 : 703.09 = 288.49 : x
  2. Step 2: Convert to fraction form
    509.57/703.09 = 288.49/x
  3. Step 3: Cross multiply
    509.57x = 703.09 × 288.49
  4. Step 4: Simplify right side
    509.57x = 202,834.43
  5. Step 5: Solve for x
    x = 202,834.43/509.57
  6. Step 6: Final answer
    x = 398.05

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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.