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Finding the Fourth Proportional to 476.66, 657.81 and 311.01

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Solution

The fourth proportional to 476.66, 657.81 and 311.01 is: 429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.66 : 657.81 = 311.01 : x
  2. Step 2: Convert to fraction form
    476.66/657.81 = 311.01/x
  3. Step 3: Cross multiply
    476.66x = 657.81 × 311.01
  4. Step 4: Simplify right side
    476.66x = 204,585.49
  5. Step 5: Solve for x
    x = 204,585.49/476.66
  6. Step 6: Final answer
    x = 429.21

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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.