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Finding the Fourth Proportional to 529.38, 730.37 and 343.01

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Solution

The fourth proportional to 529.38, 730.37 and 343.01 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 730.37 = 343.01 : x
  2. Step 2: Convert to fraction form
    529.38/730.37 = 343.01/x
  3. Step 3: Cross multiply
    529.38x = 730.37 × 343.01
  4. Step 4: Simplify right side
    529.38x = 250,521.53
  5. Step 5: Solve for x
    x = 250,521.53/529.38
  6. Step 6: Final answer
    x = 473.24

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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.