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Finding the Fourth Proportional to 433.80, 598.34 and 259

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Solution

The fourth proportional to 433.80, 598.34 and 259 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 598.34 = 259 : x
  2. Step 2: Convert to fraction form
    433.80/598.34 = 259/x
  3. Step 3: Cross multiply
    433.80x = 598.34 × 259
  4. Step 4: Simplify right side
    433.80x = 154,970.06
  5. Step 5: Solve for x
    x = 154,970.06/433.80
  6. Step 6: Final answer
    x = 357.24

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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.