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Finding the Fourth Proportional to 630.30, 946.77 and 386.94

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Solution

The fourth proportional to 630.30, 946.77 and 386.94 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.30 : 946.77 = 386.94 : x
  2. Step 2: Convert to fraction form
    630.30/946.77 = 386.94/x
  3. Step 3: Cross multiply
    630.30x = 946.77 × 386.94
  4. Step 4: Simplify right side
    630.30x = 366,343.18
  5. Step 5: Solve for x
    x = 366,343.18/630.30
  6. Step 6: Final answer
    x = 581.22

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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.