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Finding the Fourth Proportional to 598.06, 897.05 and 378.05

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Solution

The fourth proportional to 598.06, 897.05 and 378.05 is: 567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.06 : 897.05 = 378.05 : x
  2. Step 2: Convert to fraction form
    598.06/897.05 = 378.05/x
  3. Step 3: Cross multiply
    598.06x = 897.05 × 378.05
  4. Step 4: Simplify right side
    598.06x = 339,124.82
  5. Step 5: Solve for x
    x = 339,124.82/598.06
  6. Step 6: Final answer
    x = 567.04

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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.