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Finding the Fourth Proportional to 434.30, 599.40 and 259.67

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Solution

The fourth proportional to 434.30, 599.40 and 259.67 is: 358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.30 : 599.40 = 259.67 : x
  2. Step 2: Convert to fraction form
    434.30/599.40 = 259.67/x
  3. Step 3: Cross multiply
    434.30x = 599.40 × 259.67
  4. Step 4: Simplify right side
    434.30x = 155,647.70
  5. Step 5: Solve for x
    x = 155,647.70/434.30
  6. Step 6: Final answer
    x = 358.39

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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.