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Finding the Fourth Proportional to 374.28, 561.48 and 282.68

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Solution

The fourth proportional to 374.28, 561.48 and 282.68 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.28 : 561.48 = 282.68 : x
  2. Step 2: Convert to fraction form
    374.28/561.48 = 282.68/x
  3. Step 3: Cross multiply
    374.28x = 561.48 × 282.68
  4. Step 4: Simplify right side
    374.28x = 158,719.17
  5. Step 5: Solve for x
    x = 158,719.17/374.28
  6. Step 6: Final answer
    x = 424.07

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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.