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Finding the Fourth Proportional to 596.01, 893.78 and 493.49

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Solution

The fourth proportional to 596.01, 893.78 and 493.49 is: 740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.01 : 893.78 = 493.49 : x
  2. Step 2: Convert to fraction form
    596.01/893.78 = 493.49/x
  3. Step 3: Cross multiply
    596.01x = 893.78 × 493.49
  4. Step 4: Simplify right side
    596.01x = 441,075.89
  5. Step 5: Solve for x
    x = 441,075.89/596.01
  6. Step 6: Final answer
    x = 740.05

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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.