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Finding the Fourth Proportional to 478.17, 717.24 and 417.33

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Solution

The fourth proportional to 478.17, 717.24 and 417.33 is: 625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.17 : 717.24 = 417.33 : x
  2. Step 2: Convert to fraction form
    478.17/717.24 = 417.33/x
  3. Step 3: Cross multiply
    478.17x = 717.24 × 417.33
  4. Step 4: Simplify right side
    478.17x = 299,325.77
  5. Step 5: Solve for x
    x = 299,325.77/478.17
  6. Step 6: Final answer
    x = 625.98

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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.