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Finding the Fourth Proportional to 485.36, 669.58 and 278.36

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Solution

The fourth proportional to 485.36, 669.58 and 278.36 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.36 : 669.58 = 278.36 : x
  2. Step 2: Convert to fraction form
    485.36/669.58 = 278.36/x
  3. Step 3: Cross multiply
    485.36x = 669.58 × 278.36
  4. Step 4: Simplify right side
    485.36x = 186,384.29
  5. Step 5: Solve for x
    x = 186,384.29/485.36
  6. Step 6: Final answer
    x = 384.01

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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.