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Finding the Fourth Proportional to 509.74, 703.74 and 362.68

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Solution

The fourth proportional to 509.74, 703.74 and 362.68 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 703.74 = 362.68 : x
  2. Step 2: Convert to fraction form
    509.74/703.74 = 362.68/x
  3. Step 3: Cross multiply
    509.74x = 703.74 × 362.68
  4. Step 4: Simplify right side
    509.74x = 255,232.42
  5. Step 5: Solve for x
    x = 255,232.42/509.74
  6. Step 6: Final answer
    x = 500.71

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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.