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Finding the Fourth Proportional to 630.51, 945.12 and 456.75

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Solution

The fourth proportional to 630.51, 945.12 and 456.75 is: 684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.51 : 945.12 = 456.75 : x
  2. Step 2: Convert to fraction form
    630.51/945.12 = 456.75/x
  3. Step 3: Cross multiply
    630.51x = 945.12 × 456.75
  4. Step 4: Simplify right side
    630.51x = 431,683.56
  5. Step 5: Solve for x
    x = 431,683.56/630.51
  6. Step 6: Final answer
    x = 684.66

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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.