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Finding the Fourth Proportional to 290.90, 433.36 and 282.40

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Solution

The fourth proportional to 290.90, 433.36 and 282.40 is: 420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.90 : 433.36 = 282.40 : x
  2. Step 2: Convert to fraction form
    290.90/433.36 = 282.40/x
  3. Step 3: Cross multiply
    290.90x = 433.36 × 282.40
  4. Step 4: Simplify right side
    290.90x = 122,380.86
  5. Step 5: Solve for x
    x = 122,380.86/290.90
  6. Step 6: Final answer
    x = 420.70

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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.