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Finding the Fourth Proportional to 714.98, 1,072.40 and 228.03

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Solution

The fourth proportional to 714.98, 1,072.40 and 228.03 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.98 : 1,072.40 = 228.03 : x
  2. Step 2: Convert to fraction form
    714.98/1,072.40 = 228.03/x
  3. Step 3: Cross multiply
    714.98x = 1,072.40 × 228.03
  4. Step 4: Simplify right side
    714.98x = 244,538.23
  5. Step 5: Solve for x
    x = 244,538.23/714.98
  6. Step 6: Final answer
    x = 342.02

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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.