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Finding the Fourth Proportional to 290.17, 435.50 and 271.93

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Solution

The fourth proportional to 290.17, 435.50 and 271.93 is: 408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.17 : 435.50 = 271.93 : x
  2. Step 2: Convert to fraction form
    290.17/435.50 = 271.93/x
  3. Step 3: Cross multiply
    290.17x = 435.50 × 271.93
  4. Step 4: Simplify right side
    290.17x = 118,421.98
  5. Step 5: Solve for x
    x = 118,421.98/290.17
  6. Step 6: Final answer
    x = 408.11

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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.