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Finding the Fourth Proportional to 528.74, 729.81 and 319.05

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Solution

The fourth proportional to 528.74, 729.81 and 319.05 is: 440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.74 : 729.81 = 319.05 : x
  2. Step 2: Convert to fraction form
    528.74/729.81 = 319.05/x
  3. Step 3: Cross multiply
    528.74x = 729.81 × 319.05
  4. Step 4: Simplify right side
    528.74x = 232,845.88
  5. Step 5: Solve for x
    x = 232,845.88/528.74
  6. Step 6: Final answer
    x = 440.38

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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.