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Finding the Fourth Proportional to 595.34, 893.42 and 230.12

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Solution

The fourth proportional to 595.34, 893.42 and 230.12 is: 345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 893.42 = 230.12 : x
  2. Step 2: Convert to fraction form
    595.34/893.42 = 230.12/x
  3. Step 3: Cross multiply
    595.34x = 893.42 × 230.12
  4. Step 4: Simplify right side
    595.34x = 205,588.19
  5. Step 5: Solve for x
    x = 205,588.19/595.34
  6. Step 6: Final answer
    x = 345.33

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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.