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Finding the Fourth Proportional to 432.06, 596.22 and 282.74

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Solution

The fourth proportional to 432.06, 596.22 and 282.74 is: 390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 596.22 = 282.74 : x
  2. Step 2: Convert to fraction form
    432.06/596.22 = 282.74/x
  3. Step 3: Cross multiply
    432.06x = 596.22 × 282.74
  4. Step 4: Simplify right side
    432.06x = 168,575.24
  5. Step 5: Solve for x
    x = 168,575.24/432.06
  6. Step 6: Final answer
    x = 390.17

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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.