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Finding the Fourth Proportional to 477.04, 657.88 and 311.20

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Solution

The fourth proportional to 477.04, 657.88 and 311.20 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 657.88 = 311.20 : x
  2. Step 2: Convert to fraction form
    477.04/657.88 = 311.20/x
  3. Step 3: Cross multiply
    477.04x = 657.88 × 311.20
  4. Step 4: Simplify right side
    477.04x = 204,728.97
  5. Step 5: Solve for x
    x = 204,728.97/477.04
  6. Step 6: Final answer
    x = 429.16

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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.