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Finding the Fourth Proportional to 432.17, 648.53 and 175.67

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Solution

The fourth proportional to 432.17, 648.53 and 175.67 is: 263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.17 : 648.53 = 175.67 : x
  2. Step 2: Convert to fraction form
    432.17/648.53 = 175.67/x
  3. Step 3: Cross multiply
    432.17x = 648.53 × 175.67
  4. Step 4: Simplify right side
    432.17x = 113,926.39
  5. Step 5: Solve for x
    x = 113,926.39/432.17
  6. Step 6: Final answer
    x = 263.61

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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.