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Finding the Fourth Proportional to 478.12, 716.57 and 416.17

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Solution

The fourth proportional to 478.12, 716.57 and 416.17 is: 623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.12 : 716.57 = 416.17 : x
  2. Step 2: Convert to fraction form
    478.12/716.57 = 416.17/x
  3. Step 3: Cross multiply
    478.12x = 716.57 × 416.17
  4. Step 4: Simplify right side
    478.12x = 298,214.94
  5. Step 5: Solve for x
    x = 298,214.94/478.12
  6. Step 6: Final answer
    x = 623.72

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Why These Related Problems?

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