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Finding the Fourth Proportional to 701.86, 967.98 and 468.58

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Solution

The fourth proportional to 701.86, 967.98 and 468.58 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.86 : 967.98 = 468.58 : x
  2. Step 2: Convert to fraction form
    701.86/967.98 = 468.58/x
  3. Step 3: Cross multiply
    701.86x = 967.98 × 468.58
  4. Step 4: Simplify right side
    701.86x = 453,576.07
  5. Step 5: Solve for x
    x = 453,576.07/701.86
  6. Step 6: Final answer
    x = 646.25

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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.