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Finding the Fourth Proportional to 599.61, 898.12 and 461.64

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Solution

The fourth proportional to 599.61, 898.12 and 461.64 is: 691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.61 : 898.12 = 461.64 : x
  2. Step 2: Convert to fraction form
    599.61/898.12 = 461.64/x
  3. Step 3: Cross multiply
    599.61x = 898.12 × 461.64
  4. Step 4: Simplify right side
    599.61x = 414,608.12
  5. Step 5: Solve for x
    x = 414,608.12/599.61
  6. Step 6: Final answer
    x = 691.46

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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.