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Finding the Fourth Proportional to 407.18, 562.09 and 289.25

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Solution

The fourth proportional to 407.18, 562.09 and 289.25 is: 399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.18 : 562.09 = 289.25 : x
  2. Step 2: Convert to fraction form
    407.18/562.09 = 289.25/x
  3. Step 3: Cross multiply
    407.18x = 562.09 × 289.25
  4. Step 4: Simplify right side
    407.18x = 162,586.81
  5. Step 5: Solve for x
    x = 162,586.81/407.18
  6. Step 6: Final answer
    x = 399.30

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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.