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Finding the Fourth Proportional to 595.99, 894.14 and 230.88

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Solution

The fourth proportional to 595.99, 894.14 and 230.88 is: 346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.99 : 894.14 = 230.88 : x
  2. Step 2: Convert to fraction form
    595.99/894.14 = 230.88/x
  3. Step 3: Cross multiply
    595.99x = 894.14 × 230.88
  4. Step 4: Simplify right side
    595.99x = 206,442.11
  5. Step 5: Solve for x
    x = 206,442.11/595.99
  6. Step 6: Final answer
    x = 346.38

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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.