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Finding the Fourth Proportional to 600.30, 899.63 and 291.54

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Solution

The fourth proportional to 600.30, 899.63 and 291.54 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 899.63 = 291.54 : x
  2. Step 2: Convert to fraction form
    600.30/899.63 = 291.54/x
  3. Step 3: Cross multiply
    600.30x = 899.63 × 291.54
  4. Step 4: Simplify right side
    600.30x = 262,278.13
  5. Step 5: Solve for x
    x = 262,278.13/600.30
  6. Step 6: Final answer
    x = 436.91

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