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Finding the Fourth Proportional to 529.66, 729.91 and 522.83

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Solution

The fourth proportional to 529.66, 729.91 and 522.83 is: 720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.66 : 729.91 = 522.83 : x
  2. Step 2: Convert to fraction form
    529.66/729.91 = 522.83/x
  3. Step 3: Cross multiply
    529.66x = 729.91 × 522.83
  4. Step 4: Simplify right side
    529.66x = 381,619.27
  5. Step 5: Solve for x
    x = 381,619.27/529.66
  6. Step 6: Final answer
    x = 720.49

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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.