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Finding the Fourth Proportional to 631.65, 872.10 and 466.05

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Solution

The fourth proportional to 631.65, 872.10 and 466.05 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.65 : 872.10 = 466.05 : x
  2. Step 2: Convert to fraction form
    631.65/872.10 = 466.05/x
  3. Step 3: Cross multiply
    631.65x = 872.10 × 466.05
  4. Step 4: Simplify right side
    631.65x = 406,442.21
  5. Step 5: Solve for x
    x = 406,442.21/631.65
  6. Step 6: Final answer
    x = 643.46

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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.