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Finding the Fourth Proportional to 520.56, 714.42 and 506.16

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Solution

The fourth proportional to 520.56, 714.42 and 506.16 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 714.42 = 506.16 : x
  2. Step 2: Convert to fraction form
    520.56/714.42 = 506.16/x
  3. Step 3: Cross multiply
    520.56x = 714.42 × 506.16
  4. Step 4: Simplify right side
    520.56x = 361,610.83
  5. Step 5: Solve for x
    x = 361,610.83/520.56
  6. Step 6: Final answer
    x = 694.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.