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Finding the Fourth Proportional to 404.69, 558.50 and 294.12

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Solution

The fourth proportional to 404.69, 558.50 and 294.12 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.69 : 558.50 = 294.12 : x
  2. Step 2: Convert to fraction form
    404.69/558.50 = 294.12/x
  3. Step 3: Cross multiply
    404.69x = 558.50 × 294.12
  4. Step 4: Simplify right side
    404.69x = 164,264.55
  5. Step 5: Solve for x
    x = 164,264.55/404.69
  6. Step 6: Final answer
    x = 405.91

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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.