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Finding the Fourth Proportional to 520.10, 729.10 and 520.10

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Solution

The fourth proportional to 520.10, 729.10 and 520.10 is: 729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 729.10 = 520.10 : x
  2. Step 2: Convert to fraction form
    520.10/729.10 = 520.10/x
  3. Step 3: Cross multiply
    520.10x = 729.10 × 520.10
  4. Step 4: Simplify right side
    520.10x = 379,204.91
  5. Step 5: Solve for x
    x = 379,204.91/520.10
  6. Step 6: Final answer
    x = 729.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.