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Finding the Fourth Proportional to 407.16, 561.83 and 230.12

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Solution

The fourth proportional to 407.16, 561.83 and 230.12 is: 317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.16 : 561.83 = 230.12 : x
  2. Step 2: Convert to fraction form
    407.16/561.83 = 230.12/x
  3. Step 3: Cross multiply
    407.16x = 561.83 × 230.12
  4. Step 4: Simplify right side
    407.16x = 129,288.32
  5. Step 5: Solve for x
    x = 129,288.32/407.16
  6. Step 6: Final answer
    x = 317.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.