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Finding the Fourth Proportional to 509.74, 703.43 and 276.86

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Solution

The fourth proportional to 509.74, 703.43 and 276.86 is: 382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 703.43 = 276.86 : x
  2. Step 2: Convert to fraction form
    509.74/703.43 = 276.86/x
  3. Step 3: Cross multiply
    509.74x = 703.43 × 276.86
  4. Step 4: Simplify right side
    509.74x = 194,751.63
  5. Step 5: Solve for x
    x = 194,751.63/509.74
  6. Step 6: Final answer
    x = 382.06

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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.