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Finding the Fourth Proportional to 434.25, 599.33 and 247.75

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Solution

The fourth proportional to 434.25, 599.33 and 247.75 is: 341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.25 : 599.33 = 247.75 : x
  2. Step 2: Convert to fraction form
    434.25/599.33 = 247.75/x
  3. Step 3: Cross multiply
    434.25x = 599.33 × 247.75
  4. Step 4: Simplify right side
    434.25x = 148,483.13
  5. Step 5: Solve for x
    x = 148,483.13/434.25
  6. Step 6: Final answer
    x = 341.93

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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.