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Finding the Fourth Proportional to 554.80, 832.46 and 208.16

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Solution

The fourth proportional to 554.80, 832.46 and 208.16 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.80 : 832.46 = 208.16 : x
  2. Step 2: Convert to fraction form
    554.80/832.46 = 208.16/x
  3. Step 3: Cross multiply
    554.80x = 832.46 × 208.16
  4. Step 4: Simplify right side
    554.80x = 173,288.06
  5. Step 5: Solve for x
    x = 173,288.06/554.80
  6. Step 6: Final answer
    x = 312.34

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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.