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Finding the Fourth Proportional to 630.08, 945.33 and 305.48

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Solution

The fourth proportional to 630.08, 945.33 and 305.48 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.08 : 945.33 = 305.48 : x
  2. Step 2: Convert to fraction form
    630.08/945.33 = 305.48/x
  3. Step 3: Cross multiply
    630.08x = 945.33 × 305.48
  4. Step 4: Simplify right side
    630.08x = 288,779.41
  5. Step 5: Solve for x
    x = 288,779.41/630.08
  6. Step 6: Final answer
    x = 458.32

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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.