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Finding the Fourth Proportional to 502.42, 693.29 and 295.38

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Solution

The fourth proportional to 502.42, 693.29 and 295.38 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.42 : 693.29 = 295.38 : x
  2. Step 2: Convert to fraction form
    502.42/693.29 = 295.38/x
  3. Step 3: Cross multiply
    502.42x = 693.29 × 295.38
  4. Step 4: Simplify right side
    502.42x = 204,784.00
  5. Step 5: Solve for x
    x = 204,784.00/502.42
  6. Step 6: Final answer
    x = 407.60

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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.