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Finding the Fourth Proportional to 529.20, 729.78 and 342.66

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Solution

The fourth proportional to 529.20, 729.78 and 342.66 is: 472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 729.78 = 342.66 : x
  2. Step 2: Convert to fraction form
    529.20/729.78 = 342.66/x
  3. Step 3: Cross multiply
    529.20x = 729.78 × 342.66
  4. Step 4: Simplify right side
    529.20x = 250,066.41
  5. Step 5: Solve for x
    x = 250,066.41/529.20
  6. Step 6: Final answer
    x = 472.54

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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.