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Finding the Fourth Proportional to 509.50, 703.11 and 322.80

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Solution

The fourth proportional to 509.50, 703.11 and 322.80 is: 445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 703.11 = 322.80 : x
  2. Step 2: Convert to fraction form
    509.50/703.11 = 322.80/x
  3. Step 3: Cross multiply
    509.50x = 703.11 × 322.80
  4. Step 4: Simplify right side
    509.50x = 226,962.48
  5. Step 5: Solve for x
    x = 226,962.48/509.50
  6. Step 6: Final answer
    x = 445.46

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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.