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Finding the Fourth Proportional to 608.35, 912.52 and 243.16

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Solution

The fourth proportional to 608.35, 912.52 and 243.16 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.35 : 912.52 = 243.16 : x
  2. Step 2: Convert to fraction form
    608.35/912.52 = 243.16/x
  3. Step 3: Cross multiply
    608.35x = 912.52 × 243.16
  4. Step 4: Simplify right side
    608.35x = 221,888.36
  5. Step 5: Solve for x
    x = 221,888.36/608.35
  6. Step 6: Final answer
    x = 364.74

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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.