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Finding the Fourth Proportional to 600.47, 828.30 and 404.25

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Solution

The fourth proportional to 600.47, 828.30 and 404.25 is: 557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.47 : 828.30 = 404.25 : x
  2. Step 2: Convert to fraction form
    600.47/828.30 = 404.25/x
  3. Step 3: Cross multiply
    600.47x = 828.30 × 404.25
  4. Step 4: Simplify right side
    600.47x = 334,840.28
  5. Step 5: Solve for x
    x = 334,840.28/600.47
  6. Step 6: Final answer
    x = 557.63

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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.