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Finding the Fourth Proportional to 931.60, 1,397.60 and 282.40

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Solution

The fourth proportional to 931.60, 1,397.60 and 282.40 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.60 : 1,397.60 = 282.40 : x
  2. Step 2: Convert to fraction form
    931.60/1,397.60 = 282.40/x
  3. Step 3: Cross multiply
    931.60x = 1,397.60 × 282.40
  4. Step 4: Simplify right side
    931.60x = 394,682.24
  5. Step 5: Solve for x
    x = 394,682.24/931.60
  6. Step 6: Final answer
    x = 423.66

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Why These Related Problems?

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