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Finding the Fourth Proportional to 595.63, 893.31 and 184.54

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Solution

The fourth proportional to 595.63, 893.31 and 184.54 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 893.31 = 184.54 : x
  2. Step 2: Convert to fraction form
    595.63/893.31 = 184.54/x
  3. Step 3: Cross multiply
    595.63x = 893.31 × 184.54
  4. Step 4: Simplify right side
    595.63x = 164,851.43
  5. Step 5: Solve for x
    x = 164,851.43/595.63
  6. Step 6: Final answer
    x = 276.77

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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.