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Finding the Fourth Proportional to 596.87, 823.49 and 348.02

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Solution

The fourth proportional to 596.87, 823.49 and 348.02 is: 480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 823.49 = 348.02 : x
  2. Step 2: Convert to fraction form
    596.87/823.49 = 348.02/x
  3. Step 3: Cross multiply
    596.87x = 823.49 × 348.02
  4. Step 4: Simplify right side
    596.87x = 286,592.82
  5. Step 5: Solve for x
    x = 286,592.82/596.87
  6. Step 6: Final answer
    x = 480.16

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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.