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Finding the Fourth Proportional to 615.15, 922.77 and 421.34

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Solution

The fourth proportional to 615.15, 922.77 and 421.34 is: 632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.15 : 922.77 = 421.34 : x
  2. Step 2: Convert to fraction form
    615.15/922.77 = 421.34/x
  3. Step 3: Cross multiply
    615.15x = 922.77 × 421.34
  4. Step 4: Simplify right side
    615.15x = 388,795.30
  5. Step 5: Solve for x
    x = 388,795.30/615.15
  6. Step 6: Final answer
    x = 632.03

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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.