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Finding the Fourth Proportional to 595.62, 893.14 and 270.76

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Solution

The fourth proportional to 595.62, 893.14 and 270.76 is: 406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.62 : 893.14 = 270.76 : x
  2. Step 2: Convert to fraction form
    595.62/893.14 = 270.76/x
  3. Step 3: Cross multiply
    595.62x = 893.14 × 270.76
  4. Step 4: Simplify right side
    595.62x = 241,826.59
  5. Step 5: Solve for x
    x = 241,826.59/595.62
  6. Step 6: Final answer
    x = 406.01

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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.