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Finding the Fourth Proportional to 406.96, 562.44 and 304.72

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Solution

The fourth proportional to 406.96, 562.44 and 304.72 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 562.44 = 304.72 : x
  2. Step 2: Convert to fraction form
    406.96/562.44 = 304.72/x
  3. Step 3: Cross multiply
    406.96x = 562.44 × 304.72
  4. Step 4: Simplify right side
    406.96x = 171,386.72
  5. Step 5: Solve for x
    x = 171,386.72/406.96
  6. Step 6: Final answer
    x = 421.14

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Why These Related Problems?

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