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Finding the Fourth Proportional to 595.33, 892.91 and 230.07

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Solution

The fourth proportional to 595.33, 892.91 and 230.07 is: 345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.33 : 892.91 = 230.07 : x
  2. Step 2: Convert to fraction form
    595.33/892.91 = 230.07/x
  3. Step 3: Cross multiply
    595.33x = 892.91 × 230.07
  4. Step 4: Simplify right side
    595.33x = 205,432.89
  5. Step 5: Solve for x
    x = 205,432.89/595.33
  6. Step 6: Final answer
    x = 345.07

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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.