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Finding the Fourth Proportional to 598.08, 895.19 and 541.25

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Solution

The fourth proportional to 598.08, 895.19 and 541.25 is: 810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 895.19 = 541.25 : x
  2. Step 2: Convert to fraction form
    598.08/895.19 = 541.25/x
  3. Step 3: Cross multiply
    598.08x = 895.19 × 541.25
  4. Step 4: Simplify right side
    598.08x = 484,517.76
  5. Step 5: Solve for x
    x = 484,517.76/598.08
  6. Step 6: Final answer
    x = 810.12

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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.