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Finding the Fourth Proportional to 468.66, 646.71 and 258.81

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Solution

The fourth proportional to 468.66, 646.71 and 258.81 is: 357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 646.71 = 258.81 : x
  2. Step 2: Convert to fraction form
    468.66/646.71 = 258.81/x
  3. Step 3: Cross multiply
    468.66x = 646.71 × 258.81
  4. Step 4: Simplify right side
    468.66x = 167,375.02
  5. Step 5: Solve for x
    x = 167,375.02/468.66
  6. Step 6: Final answer
    x = 357.14

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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.