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Finding the Fourth Proportional to 406.84, 561.57 and 282.91

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Solution

The fourth proportional to 406.84, 561.57 and 282.91 is: 390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.84 : 561.57 = 282.91 : x
  2. Step 2: Convert to fraction form
    406.84/561.57 = 282.91/x
  3. Step 3: Cross multiply
    406.84x = 561.57 × 282.91
  4. Step 4: Simplify right side
    406.84x = 158,873.77
  5. Step 5: Solve for x
    x = 158,873.77/406.84
  6. Step 6: Final answer
    x = 390.51

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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.