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Finding the Fourth Proportional to 468.74, 646.75 and 266.86

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Solution

The fourth proportional to 468.74, 646.75 and 266.86 is: 368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.74 : 646.75 = 266.86 : x
  2. Step 2: Convert to fraction form
    468.74/646.75 = 266.86/x
  3. Step 3: Cross multiply
    468.74x = 646.75 × 266.86
  4. Step 4: Simplify right side
    468.74x = 172,591.71
  5. Step 5: Solve for x
    x = 172,591.71/468.74
  6. Step 6: Final answer
    x = 368.20

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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.