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Finding the Fourth Proportional to 290.26, 432.26 and 284.26

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Solution

The fourth proportional to 290.26, 432.26 and 284.26 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.26 : 432.26 = 284.26 : x
  2. Step 2: Convert to fraction form
    290.26/432.26 = 284.26/x
  3. Step 3: Cross multiply
    290.26x = 432.26 × 284.26
  4. Step 4: Simplify right side
    290.26x = 122,874.23
  5. Step 5: Solve for x
    x = 122,874.23/290.26
  6. Step 6: Final answer
    x = 423.32

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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.