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Finding the Fourth Proportional to 609.86, 916.16 and 436.91

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Solution

The fourth proportional to 609.86, 916.16 and 436.91 is: 656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.86 : 916.16 = 436.91 : x
  2. Step 2: Convert to fraction form
    609.86/916.16 = 436.91/x
  3. Step 3: Cross multiply
    609.86x = 916.16 × 436.91
  4. Step 4: Simplify right side
    609.86x = 400,275.98
  5. Step 5: Solve for x
    x = 400,275.98/609.86
  6. Step 6: Final answer
    x = 656.35

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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.