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Finding the Fourth Proportional to 477.42, 657.82 and 321.90

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Solution

The fourth proportional to 477.42, 657.82 and 321.90 is: 443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.42 : 657.82 = 321.90 : x
  2. Step 2: Convert to fraction form
    477.42/657.82 = 321.90/x
  3. Step 3: Cross multiply
    477.42x = 657.82 × 321.90
  4. Step 4: Simplify right side
    477.42x = 211,752.26
  5. Step 5: Solve for x
    x = 211,752.26/477.42
  6. Step 6: Final answer
    x = 443.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.