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Finding the Fourth Proportional to 646.90, 970.62 and 318.08

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Solution

The fourth proportional to 646.90, 970.62 and 318.08 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.90 : 970.62 = 318.08 : x
  2. Step 2: Convert to fraction form
    646.90/970.62 = 318.08/x
  3. Step 3: Cross multiply
    646.90x = 970.62 × 318.08
  4. Step 4: Simplify right side
    646.90x = 308,734.81
  5. Step 5: Solve for x
    x = 308,734.81/646.90
  6. Step 6: Final answer
    x = 477.25

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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.