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Finding the Fourth Proportional to 420.60, 630.08 and 275.88

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Solution

The fourth proportional to 420.60, 630.08 and 275.88 is: 413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.60 : 630.08 = 275.88 : x
  2. Step 2: Convert to fraction form
    420.60/630.08 = 275.88/x
  3. Step 3: Cross multiply
    420.60x = 630.08 × 275.88
  4. Step 4: Simplify right side
    420.60x = 173,826.47
  5. Step 5: Solve for x
    x = 173,826.47/420.60
  6. Step 6: Final answer
    x = 413.28

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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.