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Finding the Fourth Proportional to 608.06, 912.54 and 446.16

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Solution

The fourth proportional to 608.06, 912.54 and 446.16 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.06 : 912.54 = 446.16 : x
  2. Step 2: Convert to fraction form
    608.06/912.54 = 446.16/x
  3. Step 3: Cross multiply
    608.06x = 912.54 × 446.16
  4. Step 4: Simplify right side
    608.06x = 407,138.85
  5. Step 5: Solve for x
    x = 407,138.85/608.06
  6. Step 6: Final answer
    x = 669.58

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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.