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Finding the Fourth Proportional to 513.99, 709.35 and 317.52

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Solution

The fourth proportional to 513.99, 709.35 and 317.52 is: 438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.99 : 709.35 = 317.52 : x
  2. Step 2: Convert to fraction form
    513.99/709.35 = 317.52/x
  3. Step 3: Cross multiply
    513.99x = 709.35 × 317.52
  4. Step 4: Simplify right side
    513.99x = 225,232.81
  5. Step 5: Solve for x
    x = 225,232.81/513.99
  6. Step 6: Final answer
    x = 438.20

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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.