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Finding the Fourth Proportional to 523.16, 718.08 and 466.68

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Solution

The fourth proportional to 523.16, 718.08 and 466.68 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.16 : 718.08 = 466.68 : x
  2. Step 2: Convert to fraction form
    523.16/718.08 = 466.68/x
  3. Step 3: Cross multiply
    523.16x = 718.08 × 466.68
  4. Step 4: Simplify right side
    523.16x = 335,113.57
  5. Step 5: Solve for x
    x = 335,113.57/523.16
  6. Step 6: Final answer
    x = 640.56

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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.