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Finding the Fourth Proportional to 595.89, 893.41 and 184.79

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Solution

The fourth proportional to 595.89, 893.41 and 184.79 is: 277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.89 : 893.41 = 184.79 : x
  2. Step 2: Convert to fraction form
    595.89/893.41 = 184.79/x
  3. Step 3: Cross multiply
    595.89x = 893.41 × 184.79
  4. Step 4: Simplify right side
    595.89x = 165,095.01
  5. Step 5: Solve for x
    x = 165,095.01/595.89
  6. Step 6: Final answer
    x = 277.06

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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.