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Finding the Fourth Proportional to 529.05, 730.10 and 319.23

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Solution

The fourth proportional to 529.05, 730.10 and 319.23 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.05 : 730.10 = 319.23 : x
  2. Step 2: Convert to fraction form
    529.05/730.10 = 319.23/x
  3. Step 3: Cross multiply
    529.05x = 730.10 × 319.23
  4. Step 4: Simplify right side
    529.05x = 233,069.82
  5. Step 5: Solve for x
    x = 233,069.82/529.05
  6. Step 6: Final answer
    x = 440.54

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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.