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Finding the Fourth Proportional to 453.93, 677.48 and 410.19

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Solution

The fourth proportional to 453.93, 677.48 and 410.19 is: 612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.93 : 677.48 = 410.19 : x
  2. Step 2: Convert to fraction form
    453.93/677.48 = 410.19/x
  3. Step 3: Cross multiply
    453.93x = 677.48 × 410.19
  4. Step 4: Simplify right side
    453.93x = 277,893.47
  5. Step 5: Solve for x
    x = 277,893.47/453.93
  6. Step 6: Final answer
    x = 612.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.