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Finding the Fourth Proportional to 603.43, 903.68 and 417.81

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Solution

The fourth proportional to 603.43, 903.68 and 417.81 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.43 : 903.68 = 417.81 : x
  2. Step 2: Convert to fraction form
    603.43/903.68 = 417.81/x
  3. Step 3: Cross multiply
    603.43x = 903.68 × 417.81
  4. Step 4: Simplify right side
    603.43x = 377,566.54
  5. Step 5: Solve for x
    x = 377,566.54/603.43
  6. Step 6: Final answer
    x = 625.70

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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.