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Finding the Fourth Proportional to 608.32, 912.86 and 334.58

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Solution

The fourth proportional to 608.32, 912.86 and 334.58 is: 502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.32 : 912.86 = 334.58 : x
  2. Step 2: Convert to fraction form
    608.32/912.86 = 334.58/x
  3. Step 3: Cross multiply
    608.32x = 912.86 × 334.58
  4. Step 4: Simplify right side
    608.32x = 305,423.03
  5. Step 5: Solve for x
    x = 305,423.03/608.32
  6. Step 6: Final answer
    x = 502.08

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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.