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Finding the Fourth Proportional to 596.53, 823.27 and 347.93

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Solution

The fourth proportional to 596.53, 823.27 and 347.93 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.53 : 823.27 = 347.93 : x
  2. Step 2: Convert to fraction form
    596.53/823.27 = 347.93/x
  3. Step 3: Cross multiply
    596.53x = 823.27 × 347.93
  4. Step 4: Simplify right side
    596.53x = 286,438.59
  5. Step 5: Solve for x
    x = 286,438.59/596.53
  6. Step 6: Final answer
    x = 480.17

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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.