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Finding the Fourth Proportional to 596.75, 823.55 and 348.14

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Solution

The fourth proportional to 596.75, 823.55 and 348.14 is: 480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 823.55 = 348.14 : x
  2. Step 2: Convert to fraction form
    596.75/823.55 = 348.14/x
  3. Step 3: Cross multiply
    596.75x = 823.55 × 348.14
  4. Step 4: Simplify right side
    596.75x = 286,711.02
  5. Step 5: Solve for x
    x = 286,711.02/596.75
  6. Step 6: Final answer
    x = 480.46

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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.