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Finding the Fourth Proportional to 607.32, 910.90 and 174.52

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Solution

The fourth proportional to 607.32, 910.90 and 174.52 is: 261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.32 : 910.90 = 174.52 : x
  2. Step 2: Convert to fraction form
    607.32/910.90 = 174.52/x
  3. Step 3: Cross multiply
    607.32x = 910.90 × 174.52
  4. Step 4: Simplify right side
    607.32x = 158,970.27
  5. Step 5: Solve for x
    x = 158,970.27/607.32
  6. Step 6: Final answer
    x = 261.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.