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Finding the Fourth Proportional to 290.93, 434.25 and 266.58

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Solution

The fourth proportional to 290.93, 434.25 and 266.58 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.93 : 434.25 = 266.58 : x
  2. Step 2: Convert to fraction form
    290.93/434.25 = 266.58/x
  3. Step 3: Cross multiply
    290.93x = 434.25 × 266.58
  4. Step 4: Simplify right side
    290.93x = 115,761.74
  5. Step 5: Solve for x
    x = 115,761.74/290.93
  6. Step 6: Final answer
    x = 397.90

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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.