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Finding the Fourth Proportional to 432.05, 596.01 and 292.17

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Solution

The fourth proportional to 432.05, 596.01 and 292.17 is: 403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.05 : 596.01 = 292.17 : x
  2. Step 2: Convert to fraction form
    432.05/596.01 = 292.17/x
  3. Step 3: Cross multiply
    432.05x = 596.01 × 292.17
  4. Step 4: Simplify right side
    432.05x = 174,137.93
  5. Step 5: Solve for x
    x = 174,137.93/432.05
  6. Step 6: Final answer
    x = 403.05

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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.