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Finding the Fourth Proportional to 513.74, 709.06 and 317.22

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Solution

The fourth proportional to 513.74, 709.06 and 317.22 is: 437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 709.06 = 317.22 : x
  2. Step 2: Convert to fraction form
    513.74/709.06 = 317.22/x
  3. Step 3: Cross multiply
    513.74x = 709.06 × 317.22
  4. Step 4: Simplify right side
    513.74x = 224,928.01
  5. Step 5: Solve for x
    x = 224,928.01/513.74
  6. Step 6: Final answer
    x = 437.82

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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.