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Finding the Fourth Proportional to 703.84, 971.45 and 442.48

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Solution

The fourth proportional to 703.84, 971.45 and 442.48 is: 610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 971.45 = 442.48 : x
  2. Step 2: Convert to fraction form
    703.84/971.45 = 442.48/x
  3. Step 3: Cross multiply
    703.84x = 971.45 × 442.48
  4. Step 4: Simplify right side
    703.84x = 429,844.98
  5. Step 5: Solve for x
    x = 429,844.98/703.84
  6. Step 6: Final answer
    x = 610.71

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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.