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Finding the Fourth Proportional to 509.48, 703.05 and 288.44

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Solution

The fourth proportional to 509.48, 703.05 and 288.44 is: 398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 703.05 = 288.44 : x
  2. Step 2: Convert to fraction form
    509.48/703.05 = 288.44/x
  3. Step 3: Cross multiply
    509.48x = 703.05 × 288.44
  4. Step 4: Simplify right side
    509.48x = 202,787.74
  5. Step 5: Solve for x
    x = 202,787.74/509.48
  6. Step 6: Final answer
    x = 398.03

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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.