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Finding the Fourth Proportional to 600.08, 899.85 and 325.76

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Solution

The fourth proportional to 600.08, 899.85 and 325.76 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.08 : 899.85 = 325.76 : x
  2. Step 2: Convert to fraction form
    600.08/899.85 = 325.76/x
  3. Step 3: Cross multiply
    600.08x = 899.85 × 325.76
  4. Step 4: Simplify right side
    600.08x = 293,135.14
  5. Step 5: Solve for x
    x = 293,135.14/600.08
  6. Step 6: Final answer
    x = 488.49

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1.5x scale

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.