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Finding the Fourth Proportional to 476.23, 657.20 and 277.10

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Solution

The fourth proportional to 476.23, 657.20 and 277.10 is: 382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.23 : 657.20 = 277.10 : x
  2. Step 2: Convert to fraction form
    476.23/657.20 = 277.10/x
  3. Step 3: Cross multiply
    476.23x = 657.20 × 277.10
  4. Step 4: Simplify right side
    476.23x = 182,110.38
  5. Step 5: Solve for x
    x = 182,110.38/476.23
  6. Step 6: Final answer
    x = 382.40

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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.