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Finding the Fourth Proportional to 432.55, 597.81 and 345.07

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Solution

The fourth proportional to 432.55, 597.81 and 345.07 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.55 : 597.81 = 345.07 : x
  2. Step 2: Convert to fraction form
    432.55/597.81 = 345.07/x
  3. Step 3: Cross multiply
    432.55x = 597.81 × 345.07
  4. Step 4: Simplify right side
    432.55x = 206,286.30
  5. Step 5: Solve for x
    x = 206,286.30/432.55
  6. Step 6: Final answer
    x = 476.91

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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.