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Finding the Fourth Proportional to 509.50, 703.13 and 276.64

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Solution

The fourth proportional to 509.50, 703.13 and 276.64 is: 381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 703.13 = 276.64 : x
  2. Step 2: Convert to fraction form
    509.50/703.13 = 276.64/x
  3. Step 3: Cross multiply
    509.50x = 703.13 × 276.64
  4. Step 4: Simplify right side
    509.50x = 194,512.50
  5. Step 5: Solve for x
    x = 194,512.50/509.50
  6. Step 6: Final answer
    x = 381.77

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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.