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Finding the Fourth Proportional to 609.96, 914.67 and 465.24

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Solution

The fourth proportional to 609.96, 914.67 and 465.24 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.96 : 914.67 = 465.24 : x
  2. Step 2: Convert to fraction form
    609.96/914.67 = 465.24/x
  3. Step 3: Cross multiply
    609.96x = 914.67 × 465.24
  4. Step 4: Simplify right side
    609.96x = 425,541.07
  5. Step 5: Solve for x
    x = 425,541.07/609.96
  6. Step 6: Final answer
    x = 697.65

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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.