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Finding the Fourth Proportional to 460.54, 690.78 and 409.64

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Solution

The fourth proportional to 460.54, 690.78 and 409.64 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.54 : 690.78 = 409.64 : x
  2. Step 2: Convert to fraction form
    460.54/690.78 = 409.64/x
  3. Step 3: Cross multiply
    460.54x = 690.78 × 409.64
  4. Step 4: Simplify right side
    460.54x = 282,971.12
  5. Step 5: Solve for x
    x = 282,971.12/460.54
  6. Step 6: Final answer
    x = 614.44

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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.