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Finding the Fourth Proportional to 630.07, 869.20 and 420.19

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Solution

The fourth proportional to 630.07, 869.20 and 420.19 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.07 : 869.20 = 420.19 : x
  2. Step 2: Convert to fraction form
    630.07/869.20 = 420.19/x
  3. Step 3: Cross multiply
    630.07x = 869.20 × 420.19
  4. Step 4: Simplify right side
    630.07x = 365,229.15
  5. Step 5: Solve for x
    x = 365,229.15/630.07
  6. Step 6: Final answer
    x = 579.66

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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.