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Finding the Fourth Proportional to 432.95, 597.54 and 255.90

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Solution

The fourth proportional to 432.95, 597.54 and 255.90 is: 353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.95 : 597.54 = 255.90 : x
  2. Step 2: Convert to fraction form
    432.95/597.54 = 255.90/x
  3. Step 3: Cross multiply
    432.95x = 597.54 × 255.90
  4. Step 4: Simplify right side
    432.95x = 152,910.49
  5. Step 5: Solve for x
    x = 152,910.49/432.95
  6. Step 6: Final answer
    x = 353.18

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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.