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Finding the Fourth Proportional to 477.41, 659.03 and 404.11

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Solution

The fourth proportional to 477.41, 659.03 and 404.11 is: 557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.41 : 659.03 = 404.11 : x
  2. Step 2: Convert to fraction form
    477.41/659.03 = 404.11/x
  3. Step 3: Cross multiply
    477.41x = 659.03 × 404.11
  4. Step 4: Simplify right side
    477.41x = 266,315.30
  5. Step 5: Solve for x
    x = 266,315.30/477.41
  6. Step 6: Final answer
    x = 557.83

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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.