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Finding the Fourth Proportional to 646.19, 967.95 and 316.14

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Solution

The fourth proportional to 646.19, 967.95 and 316.14 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.19 : 967.95 = 316.14 : x
  2. Step 2: Convert to fraction form
    646.19/967.95 = 316.14/x
  3. Step 3: Cross multiply
    646.19x = 967.95 × 316.14
  4. Step 4: Simplify right side
    646.19x = 306,001.29
  5. Step 5: Solve for x
    x = 306,001.29/646.19
  6. Step 6: Final answer
    x = 473.55

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Why These Related Problems?

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