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Finding the Fourth Proportional to 309.22, 463.22 and 290.08

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Solution

The fourth proportional to 309.22, 463.22 and 290.08 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 463.22 = 290.08 : x
  2. Step 2: Convert to fraction form
    309.22/463.22 = 290.08/x
  3. Step 3: Cross multiply
    309.22x = 463.22 × 290.08
  4. Step 4: Simplify right side
    309.22x = 134,371.07
  5. Step 5: Solve for x
    x = 134,371.07/309.22
  6. Step 6: Final answer
    x = 434.55

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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.