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Finding the Fourth Proportional to 595.58, 893.70 and 230.39

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Solution

The fourth proportional to 595.58, 893.70 and 230.39 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.58 : 893.70 = 230.39 : x
  2. Step 2: Convert to fraction form
    595.58/893.70 = 230.39/x
  3. Step 3: Cross multiply
    595.58x = 893.70 × 230.39
  4. Step 4: Simplify right side
    595.58x = 205,898.43
  5. Step 5: Solve for x
    x = 205,898.43/595.58
  6. Step 6: Final answer
    x = 345.71

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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.