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Finding the Fourth Proportional to 597.94, 895.88 and 324.23

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Solution

The fourth proportional to 597.94, 895.88 and 324.23 is: 485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.94 : 895.88 = 324.23 : x
  2. Step 2: Convert to fraction form
    597.94/895.88 = 324.23/x
  3. Step 3: Cross multiply
    597.94x = 895.88 × 324.23
  4. Step 4: Simplify right side
    597.94x = 290,471.17
  5. Step 5: Solve for x
    x = 290,471.17/597.94
  6. Step 6: Final answer
    x = 485.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.