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Finding the Fourth Proportional to 468.68, 646.76 and 258.86

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Solution

The fourth proportional to 468.68, 646.76 and 258.86 is: 357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.68 : 646.76 = 258.86 : x
  2. Step 2: Convert to fraction form
    468.68/646.76 = 258.86/x
  3. Step 3: Cross multiply
    468.68x = 646.76 × 258.86
  4. Step 4: Simplify right side
    468.68x = 167,419.00
  5. Step 5: Solve for x
    x = 167,419.00/468.68
  6. Step 6: Final answer
    x = 357.21

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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.