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Finding the Fourth Proportional to 477.98, 659.19 and 322.94

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Solution

The fourth proportional to 477.98, 659.19 and 322.94 is: 445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 659.19 = 322.94 : x
  2. Step 2: Convert to fraction form
    477.98/659.19 = 322.94/x
  3. Step 3: Cross multiply
    477.98x = 659.19 × 322.94
  4. Step 4: Simplify right side
    477.98x = 212,878.82
  5. Step 5: Solve for x
    x = 212,878.82/477.98
  6. Step 6: Final answer
    x = 445.37

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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.