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Finding the Fourth Proportional to 690.98, 953.86 and 442.63

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Solution

The fourth proportional to 690.98, 953.86 and 442.63 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 953.86 = 442.63 : x
  2. Step 2: Convert to fraction form
    690.98/953.86 = 442.63/x
  3. Step 3: Cross multiply
    690.98x = 953.86 × 442.63
  4. Step 4: Simplify right side
    690.98x = 422,203.56
  5. Step 5: Solve for x
    x = 422,203.56/690.98
  6. Step 6: Final answer
    x = 611.03

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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.