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Finding the Fourth Proportional to 930.58, 1,396.22 and 281.32

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Solution

The fourth proportional to 930.58, 1,396.22 and 281.32 is: 422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.58 : 1,396.22 = 281.32 : x
  2. Step 2: Convert to fraction form
    930.58/1,396.22 = 281.32/x
  3. Step 3: Cross multiply
    930.58x = 1,396.22 × 281.32
  4. Step 4: Simplify right side
    930.58x = 392,779.71
  5. Step 5: Solve for x
    x = 392,779.71/930.58
  6. Step 6: Final answer
    x = 422.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.