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Finding the Fourth Proportional to 529.58, 730.85 and 293.56

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Solution

The fourth proportional to 529.58, 730.85 and 293.56 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.58 : 730.85 = 293.56 : x
  2. Step 2: Convert to fraction form
    529.58/730.85 = 293.56/x
  3. Step 3: Cross multiply
    529.58x = 730.85 × 293.56
  4. Step 4: Simplify right side
    529.58x = 214,549.15
  5. Step 5: Solve for x
    x = 214,549.15/529.58
  6. Step 6: Final answer
    x = 405.13

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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.