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Finding the Fourth Proportional to 432.77, 597.21 and 255.72

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Solution

The fourth proportional to 432.77, 597.21 and 255.72 is: 352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.77 : 597.21 = 255.72 : x
  2. Step 2: Convert to fraction form
    432.77/597.21 = 255.72/x
  3. Step 3: Cross multiply
    432.77x = 597.21 × 255.72
  4. Step 4: Simplify right side
    432.77x = 152,718.54
  5. Step 5: Solve for x
    x = 152,718.54/432.77
  6. Step 6: Final answer
    x = 352.89

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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.