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Finding the Fourth Proportional to 572.00, 788.64 and 466.97

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Solution

The fourth proportional to 572.00, 788.64 and 466.97 is: 643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.00 : 788.64 = 466.97 : x
  2. Step 2: Convert to fraction form
    572.00/788.64 = 466.97/x
  3. Step 3: Cross multiply
    572.00x = 788.64 × 466.97
  4. Step 4: Simplify right side
    572.00x = 368,265.53
  5. Step 5: Solve for x
    x = 368,265.53/572.00
  6. Step 6: Final answer
    x = 643.83

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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.