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Finding the Fourth Proportional to 630.03, 868.85 and 420.23

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Solution

The fourth proportional to 630.03, 868.85 and 420.23 is: 579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.03 : 868.85 = 420.23 : x
  2. Step 2: Convert to fraction form
    630.03/868.85 = 420.23/x
  3. Step 3: Cross multiply
    630.03x = 868.85 × 420.23
  4. Step 4: Simplify right side
    630.03x = 365,110.39
  5. Step 5: Solve for x
    x = 365,110.39/630.03
  6. Step 6: Final answer
    x = 579.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.