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Finding the Fourth Proportional to 434.51, 599.63 and 259.82

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Solution

The fourth proportional to 434.51, 599.63 and 259.82 is: 358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.51 : 599.63 = 259.82 : x
  2. Step 2: Convert to fraction form
    434.51/599.63 = 259.82/x
  3. Step 3: Cross multiply
    434.51x = 599.63 × 259.82
  4. Step 4: Simplify right side
    434.51x = 155,795.87
  5. Step 5: Solve for x
    x = 155,795.87/434.51
  6. Step 6: Final answer
    x = 358.56

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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.