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Finding the Fourth Proportional to 432.68, 597.12 and 246.14

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Solution

The fourth proportional to 432.68, 597.12 and 246.14 is: 339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 597.12 = 246.14 : x
  2. Step 2: Convert to fraction form
    432.68/597.12 = 246.14/x
  3. Step 3: Cross multiply
    432.68x = 597.12 × 246.14
  4. Step 4: Simplify right side
    432.68x = 146,975.12
  5. Step 5: Solve for x
    x = 146,975.12/432.68
  6. Step 6: Final answer
    x = 339.69

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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.