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Finding the Fourth Proportional to 513.80, 770.58 and 410.24

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Solution

The fourth proportional to 513.80, 770.58 and 410.24 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.80 : 770.58 = 410.24 : x
  2. Step 2: Convert to fraction form
    513.80/770.58 = 410.24/x
  3. Step 3: Cross multiply
    513.80x = 770.58 × 410.24
  4. Step 4: Simplify right side
    513.80x = 316,122.74
  5. Step 5: Solve for x
    x = 316,122.74/513.80
  6. Step 6: Final answer
    x = 615.26

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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.