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Finding the Fourth Proportional to 595.78, 893.52 and 230.60

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Solution

The fourth proportional to 595.78, 893.52 and 230.60 is: 345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 893.52 = 230.60 : x
  2. Step 2: Convert to fraction form
    595.78/893.52 = 230.60/x
  3. Step 3: Cross multiply
    595.78x = 893.52 × 230.60
  4. Step 4: Simplify right side
    595.78x = 206,045.71
  5. Step 5: Solve for x
    x = 206,045.71/595.78
  6. Step 6: Final answer
    x = 345.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.