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Finding the Fourth Proportional to 596.34, 894.60 and 493.02

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Solution

The fourth proportional to 596.34, 894.60 and 493.02 is: 739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 894.60 = 493.02 : x
  2. Step 2: Convert to fraction form
    596.34/894.60 = 493.02/x
  3. Step 3: Cross multiply
    596.34x = 894.60 × 493.02
  4. Step 4: Simplify right side
    596.34x = 441,055.69
  5. Step 5: Solve for x
    x = 441,055.69/596.34
  6. Step 6: Final answer
    x = 739.60

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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.