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Finding the Fourth Proportional to 529.69, 731.00 and 293.66

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Solution

The fourth proportional to 529.69, 731.00 and 293.66 is: 405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.69 : 731.00 = 293.66 : x
  2. Step 2: Convert to fraction form
    529.69/731.00 = 293.66/x
  3. Step 3: Cross multiply
    529.69x = 731.00 × 293.66
  4. Step 4: Simplify right side
    529.69x = 214,664.25
  5. Step 5: Solve for x
    x = 214,664.25/529.69
  6. Step 6: Final answer
    x = 405.27

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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.