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Finding the Fourth Proportional to 529.67, 730.93 and 293.64

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Solution

The fourth proportional to 529.67, 730.93 and 293.64 is: 405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.67 : 730.93 = 293.64 : x
  2. Step 2: Convert to fraction form
    529.67/730.93 = 293.64/x
  3. Step 3: Cross multiply
    529.67x = 730.93 × 293.64
  4. Step 4: Simplify right side
    529.67x = 214,630.29
  5. Step 5: Solve for x
    x = 214,630.29/529.67
  6. Step 6: Final answer
    x = 405.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.