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Finding the Fourth Proportional to 931.77, 1,397.72 and 282.96

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Solution

The fourth proportional to 931.77, 1,397.72 and 282.96 is: 424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.77 : 1,397.72 = 282.96 : x
  2. Step 2: Convert to fraction form
    931.77/1,397.72 = 282.96/x
  3. Step 3: Cross multiply
    931.77x = 1,397.72 × 282.96
  4. Step 4: Simplify right side
    931.77x = 395,499.56
  5. Step 5: Solve for x
    x = 395,499.56/931.77
  6. Step 6: Final answer
    x = 424.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.