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Finding the Fourth Proportional to 597.10, 895.96 and 323.14

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Solution

The fourth proportional to 597.10, 895.96 and 323.14 is: 484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 895.96 = 323.14 : x
  2. Step 2: Convert to fraction form
    597.10/895.96 = 323.14/x
  3. Step 3: Cross multiply
    597.10x = 895.96 × 323.14
  4. Step 4: Simplify right side
    597.10x = 289,520.51
  5. Step 5: Solve for x
    x = 289,520.51/597.10
  6. Step 6: Final answer
    x = 484.88

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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.