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Finding the Fourth Proportional to 611.64, 842.94 and 463.14

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Solution

The fourth proportional to 611.64, 842.94 and 463.14 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 842.94 = 463.14 : x
  2. Step 2: Convert to fraction form
    611.64/842.94 = 463.14/x
  3. Step 3: Cross multiply
    611.64x = 842.94 × 463.14
  4. Step 4: Simplify right side
    611.64x = 390,399.23
  5. Step 5: Solve for x
    x = 390,399.23/611.64
  6. Step 6: Final answer
    x = 638.28

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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.