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Finding the Fourth Proportional to 290.60, 433.81 and 287.72

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Solution

The fourth proportional to 290.60, 433.81 and 287.72 is: 429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 433.81 = 287.72 : x
  2. Step 2: Convert to fraction form
    290.60/433.81 = 287.72/x
  3. Step 3: Cross multiply
    290.60x = 433.81 × 287.72
  4. Step 4: Simplify right side
    290.60x = 124,815.81
  5. Step 5: Solve for x
    x = 124,815.81/290.60
  6. Step 6: Final answer
    x = 429.51

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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.