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Finding the Fourth Proportional to 476.72, 657.46 and 319.36

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Solution

The fourth proportional to 476.72, 657.46 and 319.36 is: 440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 657.46 = 319.36 : x
  2. Step 2: Convert to fraction form
    476.72/657.46 = 319.36/x
  3. Step 3: Cross multiply
    476.72x = 657.46 × 319.36
  4. Step 4: Simplify right side
    476.72x = 209,966.43
  5. Step 5: Solve for x
    x = 209,966.43/476.72
  6. Step 6: Final answer
    x = 440.44

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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.