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Finding the Fourth Proportional to 678.52, 1,017.72 and 370.28

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Solution

The fourth proportional to 678.52, 1,017.72 and 370.28 is: 555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.52 : 1,017.72 = 370.28 : x
  2. Step 2: Convert to fraction form
    678.52/1,017.72 = 370.28/x
  3. Step 3: Cross multiply
    678.52x = 1,017.72 × 370.28
  4. Step 4: Simplify right side
    678.52x = 376,841.36
  5. Step 5: Solve for x
    x = 376,841.36/678.52
  6. Step 6: Final answer
    x = 555.39

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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.