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Finding the Fourth Proportional to 434.39, 599.01 and 259.70

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Solution

The fourth proportional to 434.39, 599.01 and 259.70 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.39 : 599.01 = 259.70 : x
  2. Step 2: Convert to fraction form
    434.39/599.01 = 259.70/x
  3. Step 3: Cross multiply
    434.39x = 599.01 × 259.70
  4. Step 4: Simplify right side
    434.39x = 155,562.90
  5. Step 5: Solve for x
    x = 155,562.90/434.39
  6. Step 6: Final answer
    x = 358.12

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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.