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Finding the Fourth Proportional to 390.55, 538.88 and 224.77

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Solution

The fourth proportional to 390.55, 538.88 and 224.77 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.55 : 538.88 = 224.77 : x
  2. Step 2: Convert to fraction form
    390.55/538.88 = 224.77/x
  3. Step 3: Cross multiply
    390.55x = 538.88 × 224.77
  4. Step 4: Simplify right side
    390.55x = 121,121.36
  5. Step 5: Solve for x
    x = 121,121.36/390.55
  6. Step 6: Final answer
    x = 310.13

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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.