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Finding the Fourth Proportional to 600.48, 899.64 and 292.26

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Solution

The fourth proportional to 600.48, 899.64 and 292.26 is: 437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.48 : 899.64 = 292.26 : x
  2. Step 2: Convert to fraction form
    600.48/899.64 = 292.26/x
  3. Step 3: Cross multiply
    600.48x = 899.64 × 292.26
  4. Step 4: Simplify right side
    600.48x = 262,928.79
  5. Step 5: Solve for x
    x = 262,928.79/600.48
  6. Step 6: Final answer
    x = 437.86

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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.