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Finding the Fourth Proportional to 407.59, 562.73 and 281.77

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Solution

The fourth proportional to 407.59, 562.73 and 281.77 is: 389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.59 : 562.73 = 281.77 : x
  2. Step 2: Convert to fraction form
    407.59/562.73 = 281.77/x
  3. Step 3: Cross multiply
    407.59x = 562.73 × 281.77
  4. Step 4: Simplify right side
    407.59x = 158,560.43
  5. Step 5: Solve for x
    x = 158,560.43/407.59
  6. Step 6: Final answer
    x = 389.02

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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.