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Finding the Fourth Proportional to 440.49, 659.93 and 257.84

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Solution

The fourth proportional to 440.49, 659.93 and 257.84 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.49 : 659.93 = 257.84 : x
  2. Step 2: Convert to fraction form
    440.49/659.93 = 257.84/x
  3. Step 3: Cross multiply
    440.49x = 659.93 × 257.84
  4. Step 4: Simplify right side
    440.49x = 170,151.76
  5. Step 5: Solve for x
    x = 170,151.76/440.49
  6. Step 6: Final answer
    x = 386.28

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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.