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Finding the Fourth Proportional to 294, 404.44 and 282.16

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Solution

The fourth proportional to 294, 404.44 and 282.16 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 404.44 = 282.16 : x
  2. Step 2: Convert to fraction form
    294/404.44 = 282.16/x
  3. Step 3: Cross multiply
    294x = 404.44 × 282.16
  4. Step 4: Simplify right side
    294x = 114,116.79
  5. Step 5: Solve for x
    x = 114,116.79/294
  6. Step 6: Final answer
    x = 388.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.