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Finding the Fourth Proportional to 528.86, 729.87 and 319.14

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Solution

The fourth proportional to 528.86, 729.87 and 319.14 is: 440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.86 : 729.87 = 319.14 : x
  2. Step 2: Convert to fraction form
    528.86/729.87 = 319.14/x
  3. Step 3: Cross multiply
    528.86x = 729.87 × 319.14
  4. Step 4: Simplify right side
    528.86x = 232,930.71
  5. Step 5: Solve for x
    x = 232,930.71/528.86
  6. Step 6: Final answer
    x = 440.44

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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.