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Finding the Fourth Proportional to 599.24, 894.80 and 491.24

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Solution

The fourth proportional to 599.24, 894.80 and 491.24 is: 733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 894.80 = 491.24 : x
  2. Step 2: Convert to fraction form
    599.24/894.80 = 491.24/x
  3. Step 3: Cross multiply
    599.24x = 894.80 × 491.24
  4. Step 4: Simplify right side
    599.24x = 439,561.55
  5. Step 5: Solve for x
    x = 439,561.55/599.24
  6. Step 6: Final answer
    x = 733.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.