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Finding the Fourth Proportional to 521.99, 720.50 and 322.88

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Solution

The fourth proportional to 521.99, 720.50 and 322.88 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.99 : 720.50 = 322.88 : x
  2. Step 2: Convert to fraction form
    521.99/720.50 = 322.88/x
  3. Step 3: Cross multiply
    521.99x = 720.50 × 322.88
  4. Step 4: Simplify right side
    521.99x = 232,637.65
  5. Step 5: Solve for x
    x = 232,637.65/521.99
  6. Step 6: Final answer
    x = 445.67

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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.