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Finding the Fourth Proportional to 511.47, 767.60 and 409.98

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Solution

The fourth proportional to 511.47, 767.60 and 409.98 is: 615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.47 : 767.60 = 409.98 : x
  2. Step 2: Convert to fraction form
    511.47/767.60 = 409.98/x
  3. Step 3: Cross multiply
    511.47x = 767.60 × 409.98
  4. Step 4: Simplify right side
    511.47x = 314,701.14
  5. Step 5: Solve for x
    x = 314,701.14/511.47
  6. Step 6: Final answer
    x = 615.28

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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.