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Finding the Fourth Proportional to 595.60, 893.38 and 270.52

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Solution

The fourth proportional to 595.60, 893.38 and 270.52 is: 405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.60 : 893.38 = 270.52 : x
  2. Step 2: Convert to fraction form
    595.60/893.38 = 270.52/x
  3. Step 3: Cross multiply
    595.60x = 893.38 × 270.52
  4. Step 4: Simplify right side
    595.60x = 241,677.16
  5. Step 5: Solve for x
    x = 241,677.16/595.60
  6. Step 6: Final answer
    x = 405.77

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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.