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Finding the Fourth Proportional to 635.83, 876.70 and 467.01

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Solution

The fourth proportional to 635.83, 876.70 and 467.01 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.83 : 876.70 = 467.01 : x
  2. Step 2: Convert to fraction form
    635.83/876.70 = 467.01/x
  3. Step 3: Cross multiply
    635.83x = 876.70 × 467.01
  4. Step 4: Simplify right side
    635.83x = 409,427.67
  5. Step 5: Solve for x
    x = 409,427.67/635.83
  6. Step 6: Final answer
    x = 643.93

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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.