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Finding the Fourth Proportional to 599.64, 897.24 and 539.76

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Solution

The fourth proportional to 599.64, 897.24 and 539.76 is: 807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 897.24 = 539.76 : x
  2. Step 2: Convert to fraction form
    599.64/897.24 = 539.76/x
  3. Step 3: Cross multiply
    599.64x = 897.24 × 539.76
  4. Step 4: Simplify right side
    599.64x = 484,294.26
  5. Step 5: Solve for x
    x = 484,294.26/599.64
  6. Step 6: Final answer
    x = 807.64

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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.