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Finding the Fourth Proportional to 434.22, 598.77 and 309.75

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Solution

The fourth proportional to 434.22, 598.77 and 309.75 is: 427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 598.77 = 309.75 : x
  2. Step 2: Convert to fraction form
    434.22/598.77 = 309.75/x
  3. Step 3: Cross multiply
    434.22x = 598.77 × 309.75
  4. Step 4: Simplify right side
    434.22x = 185,469.01
  5. Step 5: Solve for x
    x = 185,469.01/434.22
  6. Step 6: Final answer
    x = 427.13

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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.