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Finding the Fourth Proportional to 509.46, 703.07 and 276.59

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Solution

The fourth proportional to 509.46, 703.07 and 276.59 is: 381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.46 : 703.07 = 276.59 : x
  2. Step 2: Convert to fraction form
    509.46/703.07 = 276.59/x
  3. Step 3: Cross multiply
    509.46x = 703.07 × 276.59
  4. Step 4: Simplify right side
    509.46x = 194,457.23
  5. Step 5: Solve for x
    x = 194,457.23/509.46
  6. Step 6: Final answer
    x = 381.69

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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.