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Finding the Fourth Proportional to 529.38, 729.95 and 342.63

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Solution

The fourth proportional to 529.38, 729.95 and 342.63 is: 472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 729.95 = 342.63 : x
  2. Step 2: Convert to fraction form
    529.38/729.95 = 342.63/x
  3. Step 3: Cross multiply
    529.38x = 729.95 × 342.63
  4. Step 4: Simplify right side
    529.38x = 250,101.06
  5. Step 5: Solve for x
    x = 250,101.06/529.38
  6. Step 6: Final answer
    x = 472.44

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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.