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Finding the Fourth Proportional to 476.67, 657.57 and 411.06

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Solution

The fourth proportional to 476.67, 657.57 and 411.06 is: 567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.67 : 657.57 = 411.06 : x
  2. Step 2: Convert to fraction form
    476.67/657.57 = 411.06/x
  3. Step 3: Cross multiply
    476.67x = 657.57 × 411.06
  4. Step 4: Simplify right side
    476.67x = 270,300.72
  5. Step 5: Solve for x
    x = 270,300.72/476.67
  6. Step 6: Final answer
    x = 567.06

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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.