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Finding the Fourth Proportional to 520, 717.56 and 299

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Solution

The fourth proportional to 520, 717.56 and 299 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 717.56 = 299 : x
  2. Step 2: Convert to fraction form
    520/717.56 = 299/x
  3. Step 3: Cross multiply
    520x = 717.56 × 299
  4. Step 4: Simplify right side
    520x = 214,550.44
  5. Step 5: Solve for x
    x = 214,550.44/520
  6. Step 6: Final answer
    x = 412.60

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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.