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Finding the Fourth Proportional to 468.65, 646.47 and 272.14

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Solution

The fourth proportional to 468.65, 646.47 and 272.14 is: 375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.65 : 646.47 = 272.14 : x
  2. Step 2: Convert to fraction form
    468.65/646.47 = 272.14/x
  3. Step 3: Cross multiply
    468.65x = 646.47 × 272.14
  4. Step 4: Simplify right side
    468.65x = 175,930.35
  5. Step 5: Solve for x
    x = 175,930.35/468.65
  6. Step 6: Final answer
    x = 375.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.