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Finding the Fourth Proportional to 529.24, 730.53 and 364

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Solution

The fourth proportional to 529.24, 730.53 and 364 is: 502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.24 : 730.53 = 364 : x
  2. Step 2: Convert to fraction form
    529.24/730.53 = 364/x
  3. Step 3: Cross multiply
    529.24x = 730.53 × 364
  4. Step 4: Simplify right side
    529.24x = 265,912.92
  5. Step 5: Solve for x
    x = 265,912.92/529.24
  6. Step 6: Final answer
    x = 502.44

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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.