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Finding the Fourth Proportional to 611.45, 915.08 and 475.12

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Solution

The fourth proportional to 611.45, 915.08 and 475.12 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.45 : 915.08 = 475.12 : x
  2. Step 2: Convert to fraction form
    611.45/915.08 = 475.12/x
  3. Step 3: Cross multiply
    611.45x = 915.08 × 475.12
  4. Step 4: Simplify right side
    611.45x = 434,774.25
  5. Step 5: Solve for x
    x = 434,774.25/611.45
  6. Step 6: Final answer
    x = 711.05

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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.