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Finding the Fourth Proportional to 432.57, 597.00 and 246.11

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Solution

The fourth proportional to 432.57, 597.00 and 246.11 is: 339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.57 : 597.00 = 246.11 : x
  2. Step 2: Convert to fraction form
    432.57/597.00 = 246.11/x
  3. Step 3: Cross multiply
    432.57x = 597.00 × 246.11
  4. Step 4: Simplify right side
    432.57x = 146,923.45
  5. Step 5: Solve for x
    x = 146,923.45/432.57
  6. Step 6: Final answer
    x = 339.65

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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.