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Finding the Fourth Proportional to 434.18, 598.92 and 259.49

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Solution

The fourth proportional to 434.18, 598.92 and 259.49 is: 357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.18 : 598.92 = 259.49 : x
  2. Step 2: Convert to fraction form
    434.18/598.92 = 259.49/x
  3. Step 3: Cross multiply
    434.18x = 598.92 × 259.49
  4. Step 4: Simplify right side
    434.18x = 155,410.76
  5. Step 5: Solve for x
    x = 155,410.76/434.18
  6. Step 6: Final answer
    x = 357.94

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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.