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Finding the Fourth Proportional to 595.63, 892.93 and 230.17

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Solution

The fourth proportional to 595.63, 892.93 and 230.17 is: 345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 892.93 = 230.17 : x
  2. Step 2: Convert to fraction form
    595.63/892.93 = 230.17/x
  3. Step 3: Cross multiply
    595.63x = 892.93 × 230.17
  4. Step 4: Simplify right side
    595.63x = 205,525.70
  5. Step 5: Solve for x
    x = 205,525.70/595.63
  6. Step 6: Final answer
    x = 345.06

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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.