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Finding the Fourth Proportional to 554.48, 831.72 and 189.26

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Solution

The fourth proportional to 554.48, 831.72 and 189.26 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.48 : 831.72 = 189.26 : x
  2. Step 2: Convert to fraction form
    554.48/831.72 = 189.26/x
  3. Step 3: Cross multiply
    554.48x = 831.72 × 189.26
  4. Step 4: Simplify right side
    554.48x = 157,407.17
  5. Step 5: Solve for x
    x = 157,407.17/554.48
  6. Step 6: Final answer
    x = 283.89

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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.