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Finding the Fourth Proportional to 507.49, 700.64 and 321.14

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Solution

The fourth proportional to 507.49, 700.64 and 321.14 is: 443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.49 : 700.64 = 321.14 : x
  2. Step 2: Convert to fraction form
    507.49/700.64 = 321.14/x
  3. Step 3: Cross multiply
    507.49x = 700.64 × 321.14
  4. Step 4: Simplify right side
    507.49x = 225,002.46
  5. Step 5: Solve for x
    x = 225,002.46/507.49
  6. Step 6: Final answer
    x = 443.36

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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.