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Finding the Fourth Proportional to 295.79, 407.39 and 282.11

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Solution

The fourth proportional to 295.79, 407.39 and 282.11 is: 388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.79 : 407.39 = 282.11 : x
  2. Step 2: Convert to fraction form
    295.79/407.39 = 282.11/x
  3. Step 3: Cross multiply
    295.79x = 407.39 × 282.11
  4. Step 4: Simplify right side
    295.79x = 114,925.35
  5. Step 5: Solve for x
    x = 114,925.35/295.79
  6. Step 6: Final answer
    x = 388.54

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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.