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Finding the Fourth Proportional to 504.64, 757.26 and 216.07

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Solution

The fourth proportional to 504.64, 757.26 and 216.07 is: 324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.64 : 757.26 = 216.07 : x
  2. Step 2: Convert to fraction form
    504.64/757.26 = 216.07/x
  3. Step 3: Cross multiply
    504.64x = 757.26 × 216.07
  4. Step 4: Simplify right side
    504.64x = 163,621.17
  5. Step 5: Solve for x
    x = 163,621.17/504.64
  6. Step 6: Final answer
    x = 324.23

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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.