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Finding the Fourth Proportional to 513.59, 770.40 and 477.14

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Solution

The fourth proportional to 513.59, 770.40 and 477.14 is: 715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.59 : 770.40 = 477.14 : x
  2. Step 2: Convert to fraction form
    513.59/770.40 = 477.14/x
  3. Step 3: Cross multiply
    513.59x = 770.40 × 477.14
  4. Step 4: Simplify right side
    513.59x = 367,584.80
  5. Step 5: Solve for x
    x = 367,584.80/513.59
  6. Step 6: Final answer
    x = 715.72

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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.