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Finding the Fourth Proportional to 292.30, 436.16 and 290.59

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Solution

The fourth proportional to 292.30, 436.16 and 290.59 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.30 : 436.16 = 290.59 : x
  2. Step 2: Convert to fraction form
    292.30/436.16 = 290.59/x
  3. Step 3: Cross multiply
    292.30x = 436.16 × 290.59
  4. Step 4: Simplify right side
    292.30x = 126,742.55
  5. Step 5: Solve for x
    x = 126,742.55/292.30
  6. Step 6: Final answer
    x = 433.61

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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.