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Finding the Fourth Proportional to 554.85, 831.48 and 407.44

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Solution

The fourth proportional to 554.85, 831.48 and 407.44 is: 610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.85 : 831.48 = 407.44 : x
  2. Step 2: Convert to fraction form
    554.85/831.48 = 407.44/x
  3. Step 3: Cross multiply
    554.85x = 831.48 × 407.44
  4. Step 4: Simplify right side
    554.85x = 338,780.54
  5. Step 5: Solve for x
    x = 338,780.54/554.85
  6. Step 6: Final answer
    x = 610.58

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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.