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Finding the Fourth Proportional to 364.76, 503.86 and 338.84

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Solution

The fourth proportional to 364.76, 503.86 and 338.84 is: 468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.76 : 503.86 = 338.84 : x
  2. Step 2: Convert to fraction form
    364.76/503.86 = 338.84/x
  3. Step 3: Cross multiply
    364.76x = 503.86 × 338.84
  4. Step 4: Simplify right side
    364.76x = 170,727.92
  5. Step 5: Solve for x
    x = 170,727.92/364.76
  6. Step 6: Final answer
    x = 468.06

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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.