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Finding the Fourth Proportional to 292.82, 436.79 and 288.87

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Solution

The fourth proportional to 292.82, 436.79 and 288.87 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.82 : 436.79 = 288.87 : x
  2. Step 2: Convert to fraction form
    292.82/436.79 = 288.87/x
  3. Step 3: Cross multiply
    292.82x = 436.79 × 288.87
  4. Step 4: Simplify right side
    292.82x = 126,174.61
  5. Step 5: Solve for x
    x = 126,174.61/292.82
  6. Step 6: Final answer
    x = 430.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.