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Finding the Fourth Proportional to 513.68, 709.18 and 457.80

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Solution

The fourth proportional to 513.68, 709.18 and 457.80 is: 632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.68 : 709.18 = 457.80 : x
  2. Step 2: Convert to fraction form
    513.68/709.18 = 457.80/x
  3. Step 3: Cross multiply
    513.68x = 709.18 × 457.80
  4. Step 4: Simplify right side
    513.68x = 324,662.60
  5. Step 5: Solve for x
    x = 324,662.60/513.68
  6. Step 6: Final answer
    x = 632.03

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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.