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Finding the Fourth Proportional to 595.47, 893.31 and 270.84

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Solution

The fourth proportional to 595.47, 893.31 and 270.84 is: 406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.47 : 893.31 = 270.84 : x
  2. Step 2: Convert to fraction form
    595.47/893.31 = 270.84/x
  3. Step 3: Cross multiply
    595.47x = 893.31 × 270.84
  4. Step 4: Simplify right side
    595.47x = 241,944.08
  5. Step 5: Solve for x
    x = 241,944.08/595.47
  6. Step 6: Final answer
    x = 406.31

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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.