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Finding the Fourth Proportional to 571.97, 788.74 and 466.72

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Solution

The fourth proportional to 571.97, 788.74 and 466.72 is: 643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.97 : 788.74 = 466.72 : x
  2. Step 2: Convert to fraction form
    571.97/788.74 = 466.72/x
  3. Step 3: Cross multiply
    571.97x = 788.74 × 466.72
  4. Step 4: Simplify right side
    571.97x = 368,117.59
  5. Step 5: Solve for x
    x = 368,117.59/571.97
  6. Step 6: Final answer
    x = 643.60

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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.