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Finding the Fourth Proportional to 529.56, 730.78 and 293.50

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Solution

The fourth proportional to 529.56, 730.78 and 293.50 is: 405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.56 : 730.78 = 293.50 : x
  2. Step 2: Convert to fraction form
    529.56/730.78 = 293.50/x
  3. Step 3: Cross multiply
    529.56x = 730.78 × 293.50
  4. Step 4: Simplify right side
    529.56x = 214,483.93
  5. Step 5: Solve for x
    x = 214,483.93/529.56
  6. Step 6: Final answer
    x = 405.02

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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.