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Finding the Fourth Proportional to 596.37, 823.03 and 347.77

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Solution

The fourth proportional to 596.37, 823.03 and 347.77 is: 479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 823.03 = 347.77 : x
  2. Step 2: Convert to fraction form
    596.37/823.03 = 347.77/x
  3. Step 3: Cross multiply
    596.37x = 823.03 × 347.77
  4. Step 4: Simplify right side
    596.37x = 286,225.14
  5. Step 5: Solve for x
    x = 286,225.14/596.37
  6. Step 6: Final answer
    x = 479.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.