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Finding the Fourth Proportional to 611.03, 842.88 and 463.41

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Solution

The fourth proportional to 611.03, 842.88 and 463.41 is: 639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.03 : 842.88 = 463.41 : x
  2. Step 2: Convert to fraction form
    611.03/842.88 = 463.41/x
  3. Step 3: Cross multiply
    611.03x = 842.88 × 463.41
  4. Step 4: Simplify right side
    611.03x = 390,599.02
  5. Step 5: Solve for x
    x = 390,599.02/611.03
  6. Step 6: Final answer
    x = 639.25

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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.