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Finding the Fourth Proportional to 415.21, 619.96 and 404.28

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Solution

The fourth proportional to 415.21, 619.96 and 404.28 is: 603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.21 : 619.96 = 404.28 : x
  2. Step 2: Convert to fraction form
    415.21/619.96 = 404.28/x
  3. Step 3: Cross multiply
    415.21x = 619.96 × 404.28
  4. Step 4: Simplify right side
    415.21x = 250,637.43
  5. Step 5: Solve for x
    x = 250,637.43/415.21
  6. Step 6: Final answer
    x = 603.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.