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Finding the Fourth Proportional to 714.65, 986.23 and 434.90

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Solution

The fourth proportional to 714.65, 986.23 and 434.90 is: 600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.65 : 986.23 = 434.90 : x
  2. Step 2: Convert to fraction form
    714.65/986.23 = 434.90/x
  3. Step 3: Cross multiply
    714.65x = 986.23 × 434.90
  4. Step 4: Simplify right side
    714.65x = 428,906.50
  5. Step 5: Solve for x
    x = 428,906.50/714.65
  6. Step 6: Final answer
    x = 600.16

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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.