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Finding the Fourth Proportional to 599.14, 897.51 and 310.06

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Solution

The fourth proportional to 599.14, 897.51 and 310.06 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.14 : 897.51 = 310.06 : x
  2. Step 2: Convert to fraction form
    599.14/897.51 = 310.06/x
  3. Step 3: Cross multiply
    599.14x = 897.51 × 310.06
  4. Step 4: Simplify right side
    599.14x = 278,281.95
  5. Step 5: Solve for x
    x = 278,281.95/599.14
  6. Step 6: Final answer
    x = 464.47

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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.