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Finding the Fourth Proportional to 599.98, 898.04 and 577.30

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Solution

The fourth proportional to 599.98, 898.04 and 577.30 is: 864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.98 : 898.04 = 577.30 : x
  2. Step 2: Convert to fraction form
    599.98/898.04 = 577.30/x
  3. Step 3: Cross multiply
    599.98x = 898.04 × 577.30
  4. Step 4: Simplify right side
    599.98x = 518,438.49
  5. Step 5: Solve for x
    x = 518,438.49/599.98
  6. Step 6: Final answer
    x = 864.09

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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.