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Finding the Fourth Proportional to 434.40, 599.04 and 309.84

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Solution

The fourth proportional to 434.40, 599.04 and 309.84 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 599.04 = 309.84 : x
  2. Step 2: Convert to fraction form
    434.40/599.04 = 309.84/x
  3. Step 3: Cross multiply
    434.40x = 599.04 × 309.84
  4. Step 4: Simplify right side
    434.40x = 185,606.55
  5. Step 5: Solve for x
    x = 185,606.55/434.40
  6. Step 6: Final answer
    x = 427.27

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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.