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Finding the Fourth Proportional to 529.01, 729.89 and 319.11

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Solution

The fourth proportional to 529.01, 729.89 and 319.11 is: 440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.01 : 729.89 = 319.11 : x
  2. Step 2: Convert to fraction form
    529.01/729.89 = 319.11/x
  3. Step 3: Cross multiply
    529.01x = 729.89 × 319.11
  4. Step 4: Simplify right side
    529.01x = 232,913.60
  5. Step 5: Solve for x
    x = 232,913.60/529.01
  6. Step 6: Final answer
    x = 440.29

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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.