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Finding the Fourth Proportional to 290.76, 437.88 and 262.24

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Solution

The fourth proportional to 290.76, 437.88 and 262.24 is: 394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 437.88 = 262.24 : x
  2. Step 2: Convert to fraction form
    290.76/437.88 = 262.24/x
  3. Step 3: Cross multiply
    290.76x = 437.88 × 262.24
  4. Step 4: Simplify right side
    290.76x = 114,829.65
  5. Step 5: Solve for x
    x = 114,829.65/290.76
  6. Step 6: Final answer
    x = 394.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.