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Finding the Fourth Proportional to 478.43, 717.23 and 405.78

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Solution

The fourth proportional to 478.43, 717.23 and 405.78 is: 608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.43 : 717.23 = 405.78 : x
  2. Step 2: Convert to fraction form
    478.43/717.23 = 405.78/x
  3. Step 3: Cross multiply
    478.43x = 717.23 × 405.78
  4. Step 4: Simplify right side
    478.43x = 291,038.60
  5. Step 5: Solve for x
    x = 291,038.60/478.43
  6. Step 6: Final answer
    x = 608.32

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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.