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Finding the Fourth Proportional to 476.30, 657.06 and 410.69

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Solution

The fourth proportional to 476.30, 657.06 and 410.69 is: 566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.30 : 657.06 = 410.69 : x
  2. Step 2: Convert to fraction form
    476.30/657.06 = 410.69/x
  3. Step 3: Cross multiply
    476.30x = 657.06 × 410.69
  4. Step 4: Simplify right side
    476.30x = 269,847.97
  5. Step 5: Solve for x
    x = 269,847.97/476.30
  6. Step 6: Final answer
    x = 566.55

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Why These Related Problems?

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