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Finding the Fourth Proportional to 630.48, 946.34 and 467.68

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Solution

The fourth proportional to 630.48, 946.34 and 467.68 is: 701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.48 : 946.34 = 467.68 : x
  2. Step 2: Convert to fraction form
    630.48/946.34 = 467.68/x
  3. Step 3: Cross multiply
    630.48x = 946.34 × 467.68
  4. Step 4: Simplify right side
    630.48x = 442,584.29
  5. Step 5: Solve for x
    x = 442,584.29/630.48
  6. Step 6: Final answer
    x = 701.98

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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.