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Finding the Fourth Proportional to 521.08, 719.04 and 308.46

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Solution

The fourth proportional to 521.08, 719.04 and 308.46 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.08 : 719.04 = 308.46 : x
  2. Step 2: Convert to fraction form
    521.08/719.04 = 308.46/x
  3. Step 3: Cross multiply
    521.08x = 719.04 × 308.46
  4. Step 4: Simplify right side
    521.08x = 221,795.08
  5. Step 5: Solve for x
    x = 221,795.08/521.08
  6. Step 6: Final answer
    x = 425.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.