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Finding the Fourth Proportional to 597.42, 897.12 and 568.98

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Solution

The fourth proportional to 597.42, 897.12 and 568.98 is: 854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.42 : 897.12 = 568.98 : x
  2. Step 2: Convert to fraction form
    597.42/897.12 = 568.98/x
  3. Step 3: Cross multiply
    597.42x = 897.12 × 568.98
  4. Step 4: Simplify right side
    597.42x = 510,443.34
  5. Step 5: Solve for x
    x = 510,443.34/597.42
  6. Step 6: Final answer
    x = 854.41

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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.