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Finding the Fourth Proportional to 432.56, 597 and 246.01

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Solution

The fourth proportional to 432.56, 597 and 246.01 is: 339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 597 = 246.01 : x
  2. Step 2: Convert to fraction form
    432.56/597 = 246.01/x
  3. Step 3: Cross multiply
    432.56x = 597 × 246.01
  4. Step 4: Simplify right side
    432.56x = 146,867.97
  5. Step 5: Solve for x
    x = 146,867.97/432.56
  6. Step 6: Final answer
    x = 339.53

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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.