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Finding the Fourth Proportional to 290.07, 435.11 and 267.77

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Solution

The fourth proportional to 290.07, 435.11 and 267.77 is: 401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 435.11 = 267.77 : x
  2. Step 2: Convert to fraction form
    290.07/435.11 = 267.77/x
  3. Step 3: Cross multiply
    290.07x = 435.11 × 267.77
  4. Step 4: Simplify right side
    290.07x = 116,509.15
  5. Step 5: Solve for x
    x = 116,509.15/290.07
  6. Step 6: Final answer
    x = 401.66

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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.