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Finding the Fourth Proportional to 477.30, 657.97 and 311.46

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Solution

The fourth proportional to 477.30, 657.97 and 311.46 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.30 : 657.97 = 311.46 : x
  2. Step 2: Convert to fraction form
    477.30/657.97 = 311.46/x
  3. Step 3: Cross multiply
    477.30x = 657.97 × 311.46
  4. Step 4: Simplify right side
    477.30x = 204,931.34
  5. Step 5: Solve for x
    x = 204,931.34/477.30
  6. Step 6: Final answer
    x = 429.36

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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.