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Finding the Fourth Proportional to 509.42, 703.05 and 288.38

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Solution

The fourth proportional to 509.42, 703.05 and 288.38 is: 397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 703.05 = 288.38 : x
  2. Step 2: Convert to fraction form
    509.42/703.05 = 288.38/x
  3. Step 3: Cross multiply
    509.42x = 703.05 × 288.38
  4. Step 4: Simplify right side
    509.42x = 202,745.56
  5. Step 5: Solve for x
    x = 202,745.56/509.42
  6. Step 6: Final answer
    x = 397.99

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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.