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Finding the Fourth Proportional to 521.93, 718.73 and 466.65

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Solution

The fourth proportional to 521.93, 718.73 and 466.65 is: 642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.93 : 718.73 = 466.65 : x
  2. Step 2: Convert to fraction form
    521.93/718.73 = 466.65/x
  3. Step 3: Cross multiply
    521.93x = 718.73 × 466.65
  4. Step 4: Simplify right side
    521.93x = 335,395.35
  5. Step 5: Solve for x
    x = 335,395.35/521.93
  6. Step 6: Final answer
    x = 642.61

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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.