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Finding the Fourth Proportional to 668.32, 920.50 and 520.63

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Solution

The fourth proportional to 668.32, 920.50 and 520.63 is: 717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.32 : 920.50 = 520.63 : x
  2. Step 2: Convert to fraction form
    668.32/920.50 = 520.63/x
  3. Step 3: Cross multiply
    668.32x = 920.50 × 520.63
  4. Step 4: Simplify right side
    668.32x = 479,239.92
  5. Step 5: Solve for x
    x = 479,239.92/668.32
  6. Step 6: Final answer
    x = 717.08

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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.