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Finding the Fourth Proportional to 432.59, 597.26 and 354.83

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Solution

The fourth proportional to 432.59, 597.26 and 354.83 is: 489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.59 : 597.26 = 354.83 : x
  2. Step 2: Convert to fraction form
    432.59/597.26 = 354.83/x
  3. Step 3: Cross multiply
    432.59x = 597.26 × 354.83
  4. Step 4: Simplify right side
    432.59x = 211,923.67
  5. Step 5: Solve for x
    x = 211,923.67/432.59
  6. Step 6: Final answer
    x = 489.90

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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.