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Finding the Fourth Proportional to 597.53, 896.90 and 568.37

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Solution

The fourth proportional to 597.53, 896.90 and 568.37 is: 853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 896.90 = 568.37 : x
  2. Step 2: Convert to fraction form
    597.53/896.90 = 568.37/x
  3. Step 3: Cross multiply
    597.53x = 896.90 × 568.37
  4. Step 4: Simplify right side
    597.53x = 509,763.73
  5. Step 5: Solve for x
    x = 509,763.73/597.53
  6. Step 6: Final answer
    x = 853.13

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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.