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Finding the Fourth Proportional to 632.06, 872.00 and 466.67

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Solution

The fourth proportional to 632.06, 872.00 and 466.67 is: 643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.06 : 872.00 = 466.67 : x
  2. Step 2: Convert to fraction form
    632.06/872.00 = 466.67/x
  3. Step 3: Cross multiply
    632.06x = 872.00 × 466.67
  4. Step 4: Simplify right side
    632.06x = 406,929.55
  5. Step 5: Solve for x
    x = 406,929.55/632.06
  6. Step 6: Final answer
    x = 643.82

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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.