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Finding the Fourth Proportional to 523.02, 720.74 and 472.68

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Solution

The fourth proportional to 523.02, 720.74 and 472.68 is: 651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 720.74 = 472.68 : x
  2. Step 2: Convert to fraction form
    523.02/720.74 = 472.68/x
  3. Step 3: Cross multiply
    523.02x = 720.74 × 472.68
  4. Step 4: Simplify right side
    523.02x = 340,679.38
  5. Step 5: Solve for x
    x = 340,679.38/523.02
  6. Step 6: Final answer
    x = 651.37

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1.5x scale

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.