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Finding the Fourth Proportional to 600.67, 828.68 and 404.24

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Solution

The fourth proportional to 600.67, 828.68 and 404.24 is: 557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.67 : 828.68 = 404.24 : x
  2. Step 2: Convert to fraction form
    600.67/828.68 = 404.24/x
  3. Step 3: Cross multiply
    600.67x = 828.68 × 404.24
  4. Step 4: Simplify right side
    600.67x = 334,985.65
  5. Step 5: Solve for x
    x = 334,985.65/600.67
  6. Step 6: Final answer
    x = 557.69

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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.