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Finding the Fourth Proportional to 595.41, 893.27 and 230.10

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Solution

The fourth proportional to 595.41, 893.27 and 230.10 is: 345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.41 : 893.27 = 230.10 : x
  2. Step 2: Convert to fraction form
    595.41/893.27 = 230.10/x
  3. Step 3: Cross multiply
    595.41x = 893.27 × 230.10
  4. Step 4: Simplify right side
    595.41x = 205,541.43
  5. Step 5: Solve for x
    x = 205,541.43/595.41
  6. Step 6: Final answer
    x = 345.21

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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.