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Finding the Fourth Proportional to 463.99, 696.05 and 155.74

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Solution

The fourth proportional to 463.99, 696.05 and 155.74 is: 233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.99 : 696.05 = 155.74 : x
  2. Step 2: Convert to fraction form
    463.99/696.05 = 155.74/x
  3. Step 3: Cross multiply
    463.99x = 696.05 × 155.74
  4. Step 4: Simplify right side
    463.99x = 108,402.05
  5. Step 5: Solve for x
    x = 108,402.05/463.99
  6. Step 6: Final answer
    x = 233.63

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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.