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Finding the Fourth Proportional to 468.11, 703.55 and 417.56

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Solution

The fourth proportional to 468.11, 703.55 and 417.56 is: 627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.11 : 703.55 = 417.56 : x
  2. Step 2: Convert to fraction form
    468.11/703.55 = 417.56/x
  3. Step 3: Cross multiply
    468.11x = 703.55 × 417.56
  4. Step 4: Simplify right side
    468.11x = 293,771.86
  5. Step 5: Solve for x
    x = 293,771.86/468.11
  6. Step 6: Final answer
    x = 627.57

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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.