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Finding the Fourth Proportional to 918.58, 1,378.13 and 398.35

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Solution

The fourth proportional to 918.58, 1,378.13 and 398.35 is: 597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.58 : 1,378.13 = 398.35 : x
  2. Step 2: Convert to fraction form
    918.58/1,378.13 = 398.35/x
  3. Step 3: Cross multiply
    918.58x = 1,378.13 × 398.35
  4. Step 4: Simplify right side
    918.58x = 548,978.09
  5. Step 5: Solve for x
    x = 548,978.09/918.58
  6. Step 6: Final answer
    x = 597.64

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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.