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Finding the Fourth Proportional to 505.40, 758.24 and 216.76

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Solution

The fourth proportional to 505.40, 758.24 and 216.76 is: 325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 758.24 = 216.76 : x
  2. Step 2: Convert to fraction form
    505.40/758.24 = 216.76/x
  3. Step 3: Cross multiply
    505.40x = 758.24 × 216.76
  4. Step 4: Simplify right side
    505.40x = 164,356.10
  5. Step 5: Solve for x
    x = 164,356.10/505.40
  6. Step 6: Final answer
    x = 325.20

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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.