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Finding the Fourth Proportional to 513.81, 709.14 and 383.19

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Solution

The fourth proportional to 513.81, 709.14 and 383.19 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 709.14 = 383.19 : x
  2. Step 2: Convert to fraction form
    513.81/709.14 = 383.19/x
  3. Step 3: Cross multiply
    513.81x = 709.14 × 383.19
  4. Step 4: Simplify right side
    513.81x = 271,735.36
  5. Step 5: Solve for x
    x = 271,735.36/513.81
  6. Step 6: Final answer
    x = 528.86

Related Problems

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Double scale
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1.5x scale

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.