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Finding the Fourth Proportional to 410.72, 613.51 and 307.44

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Solution

The fourth proportional to 410.72, 613.51 and 307.44 is: 459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 613.51 = 307.44 : x
  2. Step 2: Convert to fraction form
    410.72/613.51 = 307.44/x
  3. Step 3: Cross multiply
    410.72x = 613.51 × 307.44
  4. Step 4: Simplify right side
    410.72x = 188,616.75
  5. Step 5: Solve for x
    x = 188,616.75/410.72
  6. Step 6: Final answer
    x = 459.24

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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.