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Finding the Fourth Proportional to 734.98, 1,014.32 and 420.32

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Solution

The fourth proportional to 734.98, 1,014.32 and 420.32 is: 580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.98 : 1,014.32 = 420.32 : x
  2. Step 2: Convert to fraction form
    734.98/1,014.32 = 420.32/x
  3. Step 3: Cross multiply
    734.98x = 1,014.32 × 420.32
  4. Step 4: Simplify right side
    734.98x = 426,338.98
  5. Step 5: Solve for x
    x = 426,338.98/734.98
  6. Step 6: Final answer
    x = 580.07

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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.