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Finding the Fourth Proportional to 600.13, 899.74 and 404.64

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Solution

The fourth proportional to 600.13, 899.74 and 404.64 is: 606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 899.74 = 404.64 : x
  2. Step 2: Convert to fraction form
    600.13/899.74 = 404.64/x
  3. Step 3: Cross multiply
    600.13x = 899.74 × 404.64
  4. Step 4: Simplify right side
    600.13x = 364,070.79
  5. Step 5: Solve for x
    x = 364,070.79/600.13
  6. Step 6: Final answer
    x = 606.65

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Why These Related Problems?

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