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Finding the Fourth Proportional to 477.16, 716.70 and 416.92

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Solution

The fourth proportional to 477.16, 716.70 and 416.92 is: 626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 716.70 = 416.92 : x
  2. Step 2: Convert to fraction form
    477.16/716.70 = 416.92/x
  3. Step 3: Cross multiply
    477.16x = 716.70 × 416.92
  4. Step 4: Simplify right side
    477.16x = 298,806.56
  5. Step 5: Solve for x
    x = 298,806.56/477.16
  6. Step 6: Final answer
    x = 626.22

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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.