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Finding the Fourth Proportional to 356.94, 491.58 and 282.96

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Solution

The fourth proportional to 356.94, 491.58 and 282.96 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.94 : 491.58 = 282.96 : x
  2. Step 2: Convert to fraction form
    356.94/491.58 = 282.96/x
  3. Step 3: Cross multiply
    356.94x = 491.58 × 282.96
  4. Step 4: Simplify right side
    356.94x = 139,097.48
  5. Step 5: Solve for x
    x = 139,097.48/356.94
  6. Step 6: Final answer
    x = 389.69

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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.