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Finding the Fourth Proportional to 290.02, 434.74 and 116.59

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Solution

The fourth proportional to 290.02, 434.74 and 116.59 is: 174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.02 : 434.74 = 116.59 : x
  2. Step 2: Convert to fraction form
    290.02/434.74 = 116.59/x
  3. Step 3: Cross multiply
    290.02x = 434.74 × 116.59
  4. Step 4: Simplify right side
    290.02x = 50,686.34
  5. Step 5: Solve for x
    x = 50,686.34/290.02
  6. Step 6: Final answer
    x = 174.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.