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Finding the Fourth Proportional to 608.10, 912.15 and 577.73

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Solution

The fourth proportional to 608.10, 912.15 and 577.73 is: 866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.10 : 912.15 = 577.73 : x
  2. Step 2: Convert to fraction form
    608.10/912.15 = 577.73/x
  3. Step 3: Cross multiply
    608.10x = 912.15 × 577.73
  4. Step 4: Simplify right side
    608.10x = 526,971.86
  5. Step 5: Solve for x
    x = 526,971.86/608.10
  6. Step 6: Final answer
    x = 866.59

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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.