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Finding the Fourth Proportional to 529.31, 730.45 and 296.44

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Solution

The fourth proportional to 529.31, 730.45 and 296.44 is: 409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.31 : 730.45 = 296.44 : x
  2. Step 2: Convert to fraction form
    529.31/730.45 = 296.44/x
  3. Step 3: Cross multiply
    529.31x = 730.45 × 296.44
  4. Step 4: Simplify right side
    529.31x = 216,533.14
  5. Step 5: Solve for x
    x = 216,533.14/529.31
  6. Step 6: Final answer
    x = 409.08

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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.