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Finding the Fourth Proportional to 432.06, 596.51 and 292.20

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Solution

The fourth proportional to 432.06, 596.51 and 292.20 is: 403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 596.51 = 292.20 : x
  2. Step 2: Convert to fraction form
    432.06/596.51 = 292.20/x
  3. Step 3: Cross multiply
    432.06x = 596.51 × 292.20
  4. Step 4: Simplify right side
    432.06x = 174,298.76
  5. Step 5: Solve for x
    x = 174,298.76/432.06
  6. Step 6: Final answer
    x = 403.41

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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.