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Finding the Fourth Proportional to 628.58, 942.86 and 304.22

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Solution

The fourth proportional to 628.58, 942.86 and 304.22 is: 456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.58 : 942.86 = 304.22 : x
  2. Step 2: Convert to fraction form
    628.58/942.86 = 304.22/x
  3. Step 3: Cross multiply
    628.58x = 942.86 × 304.22
  4. Step 4: Simplify right side
    628.58x = 286,832.92
  5. Step 5: Solve for x
    x = 286,832.92/628.58
  6. Step 6: Final answer
    x = 456.32

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