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Finding the Fourth Proportional to 290.19, 433.16 and 253.74

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Solution

The fourth proportional to 290.19, 433.16 and 253.74 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.19 : 433.16 = 253.74 : x
  2. Step 2: Convert to fraction form
    290.19/433.16 = 253.74/x
  3. Step 3: Cross multiply
    290.19x = 433.16 × 253.74
  4. Step 4: Simplify right side
    290.19x = 109,910.02
  5. Step 5: Solve for x
    x = 109,910.02/290.19
  6. Step 6: Final answer
    x = 378.75

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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.