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Finding the Fourth Proportional to 529.60, 730.83 and 293.51

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Solution

The fourth proportional to 529.60, 730.83 and 293.51 is: 405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 730.83 = 293.51 : x
  2. Step 2: Convert to fraction form
    529.60/730.83 = 293.51/x
  3. Step 3: Cross multiply
    529.60x = 730.83 × 293.51
  4. Step 4: Simplify right side
    529.60x = 214,505.91
  5. Step 5: Solve for x
    x = 214,505.91/529.60
  6. Step 6: Final answer
    x = 405.03

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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.