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Finding the Fourth Proportional to 432.78, 596.52 and 306.58

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Solution

The fourth proportional to 432.78, 596.52 and 306.58 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 596.52 = 306.58 : x
  2. Step 2: Convert to fraction form
    432.78/596.52 = 306.58/x
  3. Step 3: Cross multiply
    432.78x = 596.52 × 306.58
  4. Step 4: Simplify right side
    432.78x = 182,881.10
  5. Step 5: Solve for x
    x = 182,881.10/432.78
  6. Step 6: Final answer
    x = 422.57

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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.