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Finding the Fourth Proportional to 334.08, 501.94 and 315.66

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Solution

The fourth proportional to 334.08, 501.94 and 315.66 is: 474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.08 : 501.94 = 315.66 : x
  2. Step 2: Convert to fraction form
    334.08/501.94 = 315.66/x
  3. Step 3: Cross multiply
    334.08x = 501.94 × 315.66
  4. Step 4: Simplify right side
    334.08x = 158,442.38
  5. Step 5: Solve for x
    x = 158,442.38/334.08
  6. Step 6: Final answer
    x = 474.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.