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Finding the Fourth Proportional to 407.06, 561.76 and 230.09

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Solution

The fourth proportional to 407.06, 561.76 and 230.09 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 561.76 = 230.09 : x
  2. Step 2: Convert to fraction form
    407.06/561.76 = 230.09/x
  3. Step 3: Cross multiply
    407.06x = 561.76 × 230.09
  4. Step 4: Simplify right side
    407.06x = 129,254.08
  5. Step 5: Solve for x
    x = 129,254.08/407.06
  6. Step 6: Final answer
    x = 317.53

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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.