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Finding the Fourth Proportional to 529.63, 730.91 and 296.75

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Solution

The fourth proportional to 529.63, 730.91 and 296.75 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.63 : 730.91 = 296.75 : x
  2. Step 2: Convert to fraction form
    529.63/730.91 = 296.75/x
  3. Step 3: Cross multiply
    529.63x = 730.91 × 296.75
  4. Step 4: Simplify right side
    529.63x = 216,897.54
  5. Step 5: Solve for x
    x = 216,897.54/529.63
  6. Step 6: Final answer
    x = 409.53

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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.