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Finding the Fourth Proportional to 364.91, 502.45 and 308.66

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Solution

The fourth proportional to 364.91, 502.45 and 308.66 is: 425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.91 : 502.45 = 308.66 : x
  2. Step 2: Convert to fraction form
    364.91/502.45 = 308.66/x
  3. Step 3: Cross multiply
    364.91x = 502.45 × 308.66
  4. Step 4: Simplify right side
    364.91x = 155,087.50
  5. Step 5: Solve for x
    x = 155,087.50/364.91
  6. Step 6: Final answer
    x = 425.01

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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.