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Finding the Fourth Proportional to 477.02, 657.90 and 311.30

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Solution

The fourth proportional to 477.02, 657.90 and 311.30 is: 429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.02 : 657.90 = 311.30 : x
  2. Step 2: Convert to fraction form
    477.02/657.90 = 311.30/x
  3. Step 3: Cross multiply
    477.02x = 657.90 × 311.30
  4. Step 4: Simplify right side
    477.02x = 204,804.27
  5. Step 5: Solve for x
    x = 204,804.27/477.02
  6. Step 6: Final answer
    x = 429.34

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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.