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Finding the Fourth Proportional to 646.73, 968.71 and 473.70

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Solution

The fourth proportional to 646.73, 968.71 and 473.70 is: 709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.73 : 968.71 = 473.70 : x
  2. Step 2: Convert to fraction form
    646.73/968.71 = 473.70/x
  3. Step 3: Cross multiply
    646.73x = 968.71 × 473.70
  4. Step 4: Simplify right side
    646.73x = 458,875.81
  5. Step 5: Solve for x
    x = 458,875.81/646.73
  6. Step 6: Final answer
    x = 709.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.