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Finding the Fourth Proportional to 336.36, 502.07 and 312.26

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Solution

The fourth proportional to 336.36, 502.07 and 312.26 is: 466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.36 : 502.07 = 312.26 : x
  2. Step 2: Convert to fraction form
    336.36/502.07 = 312.26/x
  3. Step 3: Cross multiply
    336.36x = 502.07 × 312.26
  4. Step 4: Simplify right side
    336.36x = 156,776.38
  5. Step 5: Solve for x
    x = 156,776.38/336.36
  6. Step 6: Final answer
    x = 466.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.