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Finding the Fourth Proportional to 599.21, 897.14 and 306.08

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Solution

The fourth proportional to 599.21, 897.14 and 306.08 is: 458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.21 : 897.14 = 306.08 : x
  2. Step 2: Convert to fraction form
    599.21/897.14 = 306.08/x
  3. Step 3: Cross multiply
    599.21x = 897.14 × 306.08
  4. Step 4: Simplify right side
    599.21x = 274,590.60
  5. Step 5: Solve for x
    x = 274,590.60/599.21
  6. Step 6: Final answer
    x = 458.26

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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.