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Finding the Fourth Proportional to 529.19, 730.33 and 296.31

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Solution

The fourth proportional to 529.19, 730.33 and 296.31 is: 408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.19 : 730.33 = 296.31 : x
  2. Step 2: Convert to fraction form
    529.19/730.33 = 296.31/x
  3. Step 3: Cross multiply
    529.19x = 730.33 × 296.31
  4. Step 4: Simplify right side
    529.19x = 216,404.08
  5. Step 5: Solve for x
    x = 216,404.08/529.19
  6. Step 6: Final answer
    x = 408.93

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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.