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Finding the Fourth Proportional to 608.51, 912.77 and 454.51

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Solution

The fourth proportional to 608.51, 912.77 and 454.51 is: 681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.51 : 912.77 = 454.51 : x
  2. Step 2: Convert to fraction form
    608.51/912.77 = 454.51/x
  3. Step 3: Cross multiply
    608.51x = 912.77 × 454.51
  4. Step 4: Simplify right side
    608.51x = 414,863.67
  5. Step 5: Solve for x
    x = 414,863.67/608.51
  6. Step 6: Final answer
    x = 681.77

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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.