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Finding the Fourth Proportional to 603.69, 905.35 and 257.02

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Solution

The fourth proportional to 603.69, 905.35 and 257.02 is: 385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.69 : 905.35 = 257.02 : x
  2. Step 2: Convert to fraction form
    603.69/905.35 = 257.02/x
  3. Step 3: Cross multiply
    603.69x = 905.35 × 257.02
  4. Step 4: Simplify right side
    603.69x = 232,693.06
  5. Step 5: Solve for x
    x = 232,693.06/603.69
  6. Step 6: Final answer
    x = 385.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.