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Finding the Fourth Proportional to 529.69, 730.97 and 296.81

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Solution

The fourth proportional to 529.69, 730.97 and 296.81 is: 409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.69 : 730.97 = 296.81 : x
  2. Step 2: Convert to fraction form
    529.69/730.97 = 296.81/x
  3. Step 3: Cross multiply
    529.69x = 730.97 × 296.81
  4. Step 4: Simplify right side
    529.69x = 216,961.78
  5. Step 5: Solve for x
    x = 216,961.78/529.69
  6. Step 6: Final answer
    x = 409.60

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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.