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Finding the Fourth Proportional to 554.82, 831.25 and 494.49

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Solution

The fourth proportional to 554.82, 831.25 and 494.49 is: 740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.82 : 831.25 = 494.49 : x
  2. Step 2: Convert to fraction form
    554.82/831.25 = 494.49/x
  3. Step 3: Cross multiply
    554.82x = 831.25 × 494.49
  4. Step 4: Simplify right side
    554.82x = 411,044.81
  5. Step 5: Solve for x
    x = 411,044.81/554.82
  6. Step 6: Final answer
    x = 740.86

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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.