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Finding the Fourth Proportional to 337.36, 465.42 and 211.35

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Solution

The fourth proportional to 337.36, 465.42 and 211.35 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.36 : 465.42 = 211.35 : x
  2. Step 2: Convert to fraction form
    337.36/465.42 = 211.35/x
  3. Step 3: Cross multiply
    337.36x = 465.42 × 211.35
  4. Step 4: Simplify right side
    337.36x = 98,368.13
  5. Step 5: Solve for x
    x = 98,368.13/337.36
  6. Step 6: Final answer
    x = 291.58

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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.