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Finding the Fourth Proportional to 493.36, 740.31 and 417.22

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Solution

The fourth proportional to 493.36, 740.31 and 417.22 is: 626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 740.31 = 417.22 : x
  2. Step 2: Convert to fraction form
    493.36/740.31 = 417.22/x
  3. Step 3: Cross multiply
    493.36x = 740.31 × 417.22
  4. Step 4: Simplify right side
    493.36x = 308,872.14
  5. Step 5: Solve for x
    x = 308,872.14/493.36
  6. Step 6: Final answer
    x = 626.06

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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.