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Finding the Fourth Proportional to 407.64, 561.34 and 399.12

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Solution

The fourth proportional to 407.64, 561.34 and 399.12 is: 549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 561.34 = 399.12 : x
  2. Step 2: Convert to fraction form
    407.64/561.34 = 399.12/x
  3. Step 3: Cross multiply
    407.64x = 561.34 × 399.12
  4. Step 4: Simplify right side
    407.64x = 224,042.02
  5. Step 5: Solve for x
    x = 224,042.02/407.64
  6. Step 6: Final answer
    x = 549.61

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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.