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Finding the Fourth Proportional to 432.37, 647.19 and 366.76

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Solution

The fourth proportional to 432.37, 647.19 and 366.76 is: 548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.37 : 647.19 = 366.76 : x
  2. Step 2: Convert to fraction form
    432.37/647.19 = 366.76/x
  3. Step 3: Cross multiply
    432.37x = 647.19 × 366.76
  4. Step 4: Simplify right side
    432.37x = 237,364.21
  5. Step 5: Solve for x
    x = 237,364.21/432.37
  6. Step 6: Final answer
    x = 548.98

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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.