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Finding the Fourth Proportional to 404.19, 557.55 and 305.64

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Solution

The fourth proportional to 404.19, 557.55 and 305.64 is: 421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.19 : 557.55 = 305.64 : x
  2. Step 2: Convert to fraction form
    404.19/557.55 = 305.64/x
  3. Step 3: Cross multiply
    404.19x = 557.55 × 305.64
  4. Step 4: Simplify right side
    404.19x = 170,409.58
  5. Step 5: Solve for x
    x = 170,409.58/404.19
  6. Step 6: Final answer
    x = 421.61

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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.