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Finding the Fourth Proportional to 468.89, 703.23 and 176.38

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Solution

The fourth proportional to 468.89, 703.23 and 176.38 is: 264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.89 : 703.23 = 176.38 : x
  2. Step 2: Convert to fraction form
    468.89/703.23 = 176.38/x
  3. Step 3: Cross multiply
    468.89x = 703.23 × 176.38
  4. Step 4: Simplify right side
    468.89x = 124,035.71
  5. Step 5: Solve for x
    x = 124,035.71/468.89
  6. Step 6: Final answer
    x = 264.53

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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.