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Finding the Fourth Proportional to 407.26, 562.07 and 282.99

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Solution

The fourth proportional to 407.26, 562.07 and 282.99 is: 390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 562.07 = 282.99 : x
  2. Step 2: Convert to fraction form
    407.26/562.07 = 282.99/x
  3. Step 3: Cross multiply
    407.26x = 562.07 × 282.99
  4. Step 4: Simplify right side
    407.26x = 159,063.00
  5. Step 5: Solve for x
    x = 159,063.00/407.26
  6. Step 6: Final answer
    x = 390.57

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