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Finding the Fourth Proportional to 432.98, 596.65 and 339.83

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Solution

The fourth proportional to 432.98, 596.65 and 339.83 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.98 : 596.65 = 339.83 : x
  2. Step 2: Convert to fraction form
    432.98/596.65 = 339.83/x
  3. Step 3: Cross multiply
    432.98x = 596.65 × 339.83
  4. Step 4: Simplify right side
    432.98x = 202,754.89
  5. Step 5: Solve for x
    x = 202,754.89/432.98
  6. Step 6: Final answer
    x = 468.28

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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.