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Finding the Fourth Proportional to 432.24, 596.69 and 264.20

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Solution

The fourth proportional to 432.24, 596.69 and 264.20 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 596.69 = 264.20 : x
  2. Step 2: Convert to fraction form
    432.24/596.69 = 264.20/x
  3. Step 3: Cross multiply
    432.24x = 596.69 × 264.20
  4. Step 4: Simplify right side
    432.24x = 157,646.66
  5. Step 5: Solve for x
    x = 157,646.66/432.24
  6. Step 6: Final answer
    x = 364.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.