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Finding the Fourth Proportional to 462.39, 695.90 and 347.43

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Solution

The fourth proportional to 462.39, 695.90 and 347.43 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.39 : 695.90 = 347.43 : x
  2. Step 2: Convert to fraction form
    462.39/695.90 = 347.43/x
  3. Step 3: Cross multiply
    462.39x = 695.90 × 347.43
  4. Step 4: Simplify right side
    462.39x = 241,777.41
  5. Step 5: Solve for x
    x = 241,777.41/462.39
  6. Step 6: Final answer
    x = 522.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.