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Finding the Fourth Proportional to 477.64, 717.54 and 406.36

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Solution

The fourth proportional to 477.64, 717.54 and 406.36 is: 610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.64 : 717.54 = 406.36 : x
  2. Step 2: Convert to fraction form
    477.64/717.54 = 406.36/x
  3. Step 3: Cross multiply
    477.64x = 717.54 × 406.36
  4. Step 4: Simplify right side
    477.64x = 291,579.55
  5. Step 5: Solve for x
    x = 291,579.55/477.64
  6. Step 6: Final answer
    x = 610.46

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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.