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Finding the Fourth Proportional to 434.54, 599.64 and 248.03

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Solution

The fourth proportional to 434.54, 599.64 and 248.03 is: 342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.54 : 599.64 = 248.03 : x
  2. Step 2: Convert to fraction form
    434.54/599.64 = 248.03/x
  3. Step 3: Cross multiply
    434.54x = 599.64 × 248.03
  4. Step 4: Simplify right side
    434.54x = 148,725.71
  5. Step 5: Solve for x
    x = 148,725.71/434.54
  6. Step 6: Final answer
    x = 342.26

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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.