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Finding the Fourth Proportional to 434, 598.74 and 284.57

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Solution

The fourth proportional to 434, 598.74 and 284.57 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434 : 598.74 = 284.57 : x
  2. Step 2: Convert to fraction form
    434/598.74 = 284.57/x
  3. Step 3: Cross multiply
    434x = 598.74 × 284.57
  4. Step 4: Simplify right side
    434x = 170,383.44
  5. Step 5: Solve for x
    x = 170,383.44/434
  6. Step 6: Final answer
    x = 392.59

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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.