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Finding the Fourth Proportional to 611.74, 915.58 and 380.80

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Solution

The fourth proportional to 611.74, 915.58 and 380.80 is: 569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 915.58 = 380.80 : x
  2. Step 2: Convert to fraction form
    611.74/915.58 = 380.80/x
  3. Step 3: Cross multiply
    611.74x = 915.58 × 380.80
  4. Step 4: Simplify right side
    611.74x = 348,652.86
  5. Step 5: Solve for x
    x = 348,652.86/611.74
  6. Step 6: Final answer
    x = 569.94

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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.