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Finding the Fourth Proportional to 646.92, 970.56 and 317.88

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Solution

The fourth proportional to 646.92, 970.56 and 317.88 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 970.56 = 317.88 : x
  2. Step 2: Convert to fraction form
    646.92/970.56 = 317.88/x
  3. Step 3: Cross multiply
    646.92x = 970.56 × 317.88
  4. Step 4: Simplify right side
    646.92x = 308,521.61
  5. Step 5: Solve for x
    x = 308,521.61/646.92
  6. Step 6: Final answer
    x = 476.91

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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.