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Finding the Fourth Proportional to 336.45, 465.04 and 296.83

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Solution

The fourth proportional to 336.45, 465.04 and 296.83 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.45 : 465.04 = 296.83 : x
  2. Step 2: Convert to fraction form
    336.45/465.04 = 296.83/x
  3. Step 3: Cross multiply
    336.45x = 465.04 × 296.83
  4. Step 4: Simplify right side
    336.45x = 138,038.78
  5. Step 5: Solve for x
    x = 138,038.78/336.45
  6. Step 6: Final answer
    x = 410.28

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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.