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Finding the Fourth Proportional to 504.21, 756.59 and 215.67

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Solution

The fourth proportional to 504.21, 756.59 and 215.67 is: 323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.21 : 756.59 = 215.67 : x
  2. Step 2: Convert to fraction form
    504.21/756.59 = 215.67/x
  3. Step 3: Cross multiply
    504.21x = 756.59 × 215.67
  4. Step 4: Simplify right side
    504.21x = 163,172.69
  5. Step 5: Solve for x
    x = 163,172.69/504.21
  6. Step 6: Final answer
    x = 323.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.