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Finding the Fourth Proportional to 434.58, 599.63 and 257.60

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Solution

The fourth proportional to 434.58, 599.63 and 257.60 is: 355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.58 : 599.63 = 257.60 : x
  2. Step 2: Convert to fraction form
    434.58/599.63 = 257.60/x
  3. Step 3: Cross multiply
    434.58x = 599.63 × 257.60
  4. Step 4: Simplify right side
    434.58x = 154,465.01
  5. Step 5: Solve for x
    x = 154,465.01/434.58
  6. Step 6: Final answer
    x = 355.43

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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.