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Finding the Fourth Proportional to 410.54, 615.76 and 150.46

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Solution

The fourth proportional to 410.54, 615.76 and 150.46 is: 225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.54 : 615.76 = 150.46 : x
  2. Step 2: Convert to fraction form
    410.54/615.76 = 150.46/x
  3. Step 3: Cross multiply
    410.54x = 615.76 × 150.46
  4. Step 4: Simplify right side
    410.54x = 92,647.25
  5. Step 5: Solve for x
    x = 92,647.25/410.54
  6. Step 6: Final answer
    x = 225.67

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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.