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Finding the Fourth Proportional to 597.41, 823.75 and 400.58

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Solution

The fourth proportional to 597.41, 823.75 and 400.58 is: 552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 823.75 = 400.58 : x
  2. Step 2: Convert to fraction form
    597.41/823.75 = 400.58/x
  3. Step 3: Cross multiply
    597.41x = 823.75 × 400.58
  4. Step 4: Simplify right side
    597.41x = 329,977.78
  5. Step 5: Solve for x
    x = 329,977.78/597.41
  6. Step 6: Final answer
    x = 552.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.