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Finding the Fourth Proportional to 599.52, 898.14 and 355.80

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Solution

The fourth proportional to 599.52, 898.14 and 355.80 is: 533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 898.14 = 355.80 : x
  2. Step 2: Convert to fraction form
    599.52/898.14 = 355.80/x
  3. Step 3: Cross multiply
    599.52x = 898.14 × 355.80
  4. Step 4: Simplify right side
    599.52x = 319,558.21
  5. Step 5: Solve for x
    x = 319,558.21/599.52
  6. Step 6: Final answer
    x = 533.02

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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.