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Finding the Fourth Proportional to 529.53, 730.81 and 296.66

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Solution

The fourth proportional to 529.53, 730.81 and 296.66 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.53 : 730.81 = 296.66 : x
  2. Step 2: Convert to fraction form
    529.53/730.81 = 296.66/x
  3. Step 3: Cross multiply
    529.53x = 730.81 × 296.66
  4. Step 4: Simplify right side
    529.53x = 216,796.96
  5. Step 5: Solve for x
    x = 216,796.96/529.53
  6. Step 6: Final answer
    x = 409.41

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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.