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Finding the Fourth Proportional to 521.01, 719.14 and 311.33

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Solution

The fourth proportional to 521.01, 719.14 and 311.33 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.01 : 719.14 = 311.33 : x
  2. Step 2: Convert to fraction form
    521.01/719.14 = 311.33/x
  3. Step 3: Cross multiply
    521.01x = 719.14 × 311.33
  4. Step 4: Simplify right side
    521.01x = 223,888.18
  5. Step 5: Solve for x
    x = 223,888.18/521.01
  6. Step 6: Final answer
    x = 429.72

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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.