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Finding the Fourth Proportional to 520.17, 717.66 and 296.06

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Solution

The fourth proportional to 520.17, 717.66 and 296.06 is: 408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 717.66 = 296.06 : x
  2. Step 2: Convert to fraction form
    520.17/717.66 = 296.06/x
  3. Step 3: Cross multiply
    520.17x = 717.66 × 296.06
  4. Step 4: Simplify right side
    520.17x = 212,466.83
  5. Step 5: Solve for x
    x = 212,466.83/520.17
  6. Step 6: Final answer
    x = 408.46

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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.