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Finding the Fourth Proportional to 615.40, 921.66 and 469.96

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Solution

The fourth proportional to 615.40, 921.66 and 469.96 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.40 : 921.66 = 469.96 : x
  2. Step 2: Convert to fraction form
    615.40/921.66 = 469.96/x
  3. Step 3: Cross multiply
    615.40x = 921.66 × 469.96
  4. Step 4: Simplify right side
    615.40x = 433,143.33
  5. Step 5: Solve for x
    x = 433,143.33/615.40
  6. Step 6: Final answer
    x = 703.84

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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.