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Finding the Fourth Proportional to 607.84, 911.78 and 175.02

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Solution

The fourth proportional to 607.84, 911.78 and 175.02 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.84 : 911.78 = 175.02 : x
  2. Step 2: Convert to fraction form
    607.84/911.78 = 175.02/x
  3. Step 3: Cross multiply
    607.84x = 911.78 × 175.02
  4. Step 4: Simplify right side
    607.84x = 159,579.74
  5. Step 5: Solve for x
    x = 159,579.74/607.84
  6. Step 6: Final answer
    x = 262.54

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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.