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Finding the Fourth Proportional to 477.36, 657.41 and 410.49

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Solution

The fourth proportional to 477.36, 657.41 and 410.49 is: 565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 657.41 = 410.49 : x
  2. Step 2: Convert to fraction form
    477.36/657.41 = 410.49/x
  3. Step 3: Cross multiply
    477.36x = 657.41 × 410.49
  4. Step 4: Simplify right side
    477.36x = 269,858.18
  5. Step 5: Solve for x
    x = 269,858.18/477.36
  6. Step 6: Final answer
    x = 565.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.