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Finding the Fourth Proportional to 615.42, 922.16 and 493.64

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Solution

The fourth proportional to 615.42, 922.16 and 493.64 is: 739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 922.16 = 493.64 : x
  2. Step 2: Convert to fraction form
    615.42/922.16 = 493.64/x
  3. Step 3: Cross multiply
    615.42x = 922.16 × 493.64
  4. Step 4: Simplify right side
    615.42x = 455,215.06
  5. Step 5: Solve for x
    x = 455,215.06/615.42
  6. Step 6: Final answer
    x = 739.68

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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.