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Finding the Fourth Proportional to 518.96, 714.06 and 506.66

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Solution

The fourth proportional to 518.96, 714.06 and 506.66 is: 697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 714.06 = 506.66 : x
  2. Step 2: Convert to fraction form
    518.96/714.06 = 506.66/x
  3. Step 3: Cross multiply
    518.96x = 714.06 × 506.66
  4. Step 4: Simplify right side
    518.96x = 361,782.07
  5. Step 5: Solve for x
    x = 361,782.07/518.96
  6. Step 6: Final answer
    x = 697.14

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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.