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Finding the Fourth Proportional to 417.98, 626.06 and 235.13

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Solution

The fourth proportional to 417.98, 626.06 and 235.13 is: 352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.98 : 626.06 = 235.13 : x
  2. Step 2: Convert to fraction form
    417.98/626.06 = 235.13/x
  3. Step 3: Cross multiply
    417.98x = 626.06 × 235.13
  4. Step 4: Simplify right side
    417.98x = 147,202.95
  5. Step 5: Solve for x
    x = 147,202.95/417.98
  6. Step 6: Final answer
    x = 352.17

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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.