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Finding the Fourth Proportional to 476.36, 710.55 and 398.44

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Solution

The fourth proportional to 476.36, 710.55 and 398.44 is: 594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 710.55 = 398.44 : x
  2. Step 2: Convert to fraction form
    476.36/710.55 = 398.44/x
  3. Step 3: Cross multiply
    476.36x = 710.55 × 398.44
  4. Step 4: Simplify right side
    476.36x = 283,113.31
  5. Step 5: Solve for x
    x = 283,113.31/476.36
  6. Step 6: Final answer
    x = 594.33

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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.