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Finding the Fourth Proportional to 290.08, 435.61 and 287.84

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Solution

The fourth proportional to 290.08, 435.61 and 287.84 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.08 : 435.61 = 287.84 : x
  2. Step 2: Convert to fraction form
    290.08/435.61 = 287.84/x
  3. Step 3: Cross multiply
    290.08x = 435.61 × 287.84
  4. Step 4: Simplify right side
    290.08x = 125,385.98
  5. Step 5: Solve for x
    x = 125,385.98/290.08
  6. Step 6: Final answer
    x = 432.25

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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.