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Finding the Fourth Proportional to 528.07, 729.11 and 404.39

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Solution

The fourth proportional to 528.07, 729.11 and 404.39 is: 558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.07 : 729.11 = 404.39 : x
  2. Step 2: Convert to fraction form
    528.07/729.11 = 404.39/x
  3. Step 3: Cross multiply
    528.07x = 729.11 × 404.39
  4. Step 4: Simplify right side
    528.07x = 294,844.79
  5. Step 5: Solve for x
    x = 294,844.79/528.07
  6. Step 6: Final answer
    x = 558.34

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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.