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Finding the Fourth Proportional to 407.72, 562.59 and 230.69

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Solution

The fourth proportional to 407.72, 562.59 and 230.69 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.72 : 562.59 = 230.69 : x
  2. Step 2: Convert to fraction form
    407.72/562.59 = 230.69/x
  3. Step 3: Cross multiply
    407.72x = 562.59 × 230.69
  4. Step 4: Simplify right side
    407.72x = 129,783.89
  5. Step 5: Solve for x
    x = 129,783.89/407.72
  6. Step 6: Final answer
    x = 318.32

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