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Finding the Fourth Proportional to 477.96, 717.14 and 417.21

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Solution

The fourth proportional to 477.96, 717.14 and 417.21 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 717.14 = 417.21 : x
  2. Step 2: Convert to fraction form
    477.96/717.14 = 417.21/x
  3. Step 3: Cross multiply
    477.96x = 717.14 × 417.21
  4. Step 4: Simplify right side
    477.96x = 299,197.98
  5. Step 5: Solve for x
    x = 299,197.98/477.96
  6. Step 6: Final answer
    x = 625.99

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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.