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Finding the Fourth Proportional to 434.36, 599.22 and 259.64

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Solution

The fourth proportional to 434.36, 599.22 and 259.64 is: 358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.36 : 599.22 = 259.64 : x
  2. Step 2: Convert to fraction form
    434.36/599.22 = 259.64/x
  3. Step 3: Cross multiply
    434.36x = 599.22 × 259.64
  4. Step 4: Simplify right side
    434.36x = 155,581.48
  5. Step 5: Solve for x
    x = 155,581.48/434.36
  6. Step 6: Final answer
    x = 358.19

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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.