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Finding the Fourth Proportional to 529.39, 730.56 and 296.52

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Solution

The fourth proportional to 529.39, 730.56 and 296.52 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.39 : 730.56 = 296.52 : x
  2. Step 2: Convert to fraction form
    529.39/730.56 = 296.52/x
  3. Step 3: Cross multiply
    529.39x = 730.56 × 296.52
  4. Step 4: Simplify right side
    529.39x = 216,620.52
  5. Step 5: Solve for x
    x = 216,620.52/529.39
  6. Step 6: Final answer
    x = 409.19

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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.