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Finding the Fourth Proportional to 647.69, 975.33 and 466.34

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Solution

The fourth proportional to 647.69, 975.33 and 466.34 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.69 : 975.33 = 466.34 : x
  2. Step 2: Convert to fraction form
    647.69/975.33 = 466.34/x
  3. Step 3: Cross multiply
    647.69x = 975.33 × 466.34
  4. Step 4: Simplify right side
    647.69x = 454,835.39
  5. Step 5: Solve for x
    x = 454,835.39/647.69
  6. Step 6: Final answer
    x = 702.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.