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Finding the Fourth Proportional to 554.47, 831.75 and 203.17

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Solution

The fourth proportional to 554.47, 831.75 and 203.17 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.47 : 831.75 = 203.17 : x
  2. Step 2: Convert to fraction form
    554.47/831.75 = 203.17/x
  3. Step 3: Cross multiply
    554.47x = 831.75 × 203.17
  4. Step 4: Simplify right side
    554.47x = 168,984.57
  5. Step 5: Solve for x
    x = 168,984.57/554.47
  6. Step 6: Final answer
    x = 304.77

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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.