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Finding the Fourth Proportional to 595.66, 893.41 and 270.96

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Solution

The fourth proportional to 595.66, 893.41 and 270.96 is: 406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.66 : 893.41 = 270.96 : x
  2. Step 2: Convert to fraction form
    595.66/893.41 = 270.96/x
  3. Step 3: Cross multiply
    595.66x = 893.41 × 270.96
  4. Step 4: Simplify right side
    595.66x = 242,078.37
  5. Step 5: Solve for x
    x = 242,078.37/595.66
  6. Step 6: Final answer
    x = 406.40

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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.