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Finding the Fourth Proportional to 509.74, 703.34 and 288.60

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Solution

The fourth proportional to 509.74, 703.34 and 288.60 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 703.34 = 288.60 : x
  2. Step 2: Convert to fraction form
    509.74/703.34 = 288.60/x
  3. Step 3: Cross multiply
    509.74x = 703.34 × 288.60
  4. Step 4: Simplify right side
    509.74x = 202,983.92
  5. Step 5: Solve for x
    x = 202,983.92/509.74
  6. Step 6: Final answer
    x = 398.21

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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.