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Finding the Fourth Proportional to 374.80, 561.76 and 283.20

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Solution

The fourth proportional to 374.80, 561.76 and 283.20 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.80 : 561.76 = 283.20 : x
  2. Step 2: Convert to fraction form
    374.80/561.76 = 283.20/x
  3. Step 3: Cross multiply
    374.80x = 561.76 × 283.20
  4. Step 4: Simplify right side
    374.80x = 159,090.43
  5. Step 5: Solve for x
    x = 159,090.43/374.80
  6. Step 6: Final answer
    x = 424.47

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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.