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Finding the Fourth Proportional to 404.71, 606.53 and 293.89

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Solution

The fourth proportional to 404.71, 606.53 and 293.89 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.71 : 606.53 = 293.89 : x
  2. Step 2: Convert to fraction form
    404.71/606.53 = 293.89/x
  3. Step 3: Cross multiply
    404.71x = 606.53 × 293.89
  4. Step 4: Simplify right side
    404.71x = 178,251.63
  5. Step 5: Solve for x
    x = 178,251.63/404.71
  6. Step 6: Final answer
    x = 440.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.