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Finding the Fourth Proportional to 364, 502.32 and 208.80

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Solution

The fourth proportional to 364, 502.32 and 208.80 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 502.32 = 208.80 : x
  2. Step 2: Convert to fraction form
    364/502.32 = 208.80/x
  3. Step 3: Cross multiply
    364x = 502.32 × 208.80
  4. Step 4: Simplify right side
    364x = 104,884.42
  5. Step 5: Solve for x
    x = 104,884.42/364
  6. Step 6: Final answer
    x = 288.14

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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.