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Finding the Fourth Proportional to 595.40, 892.64 and 184.30

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Solution

The fourth proportional to 595.40, 892.64 and 184.30 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 892.64 = 184.30 : x
  2. Step 2: Convert to fraction form
    595.40/892.64 = 184.30/x
  3. Step 3: Cross multiply
    595.40x = 892.64 × 184.30
  4. Step 4: Simplify right side
    595.40x = 164,511.78
  5. Step 5: Solve for x
    x = 164,511.78/595.40
  6. Step 6: Final answer
    x = 276.31

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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.