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Finding the Fourth Proportional to 407.37, 562.16 and 220.86

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Solution

The fourth proportional to 407.37, 562.16 and 220.86 is: 304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.37 : 562.16 = 220.86 : x
  2. Step 2: Convert to fraction form
    407.37/562.16 = 220.86/x
  3. Step 3: Cross multiply
    407.37x = 562.16 × 220.86
  4. Step 4: Simplify right side
    407.37x = 124,159.21
  5. Step 5: Solve for x
    x = 124,159.21/407.37
  6. Step 6: Final answer
    x = 304.78

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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.