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Finding the Fourth Proportional to 529.44, 730.55 and 319.64

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Solution

The fourth proportional to 529.44, 730.55 and 319.64 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.44 : 730.55 = 319.64 : x
  2. Step 2: Convert to fraction form
    529.44/730.55 = 319.64/x
  3. Step 3: Cross multiply
    529.44x = 730.55 × 319.64
  4. Step 4: Simplify right side
    529.44x = 233,507.75
  5. Step 5: Solve for x
    x = 233,507.75/529.44
  6. Step 6: Final answer
    x = 441.05

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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.