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Finding the Fourth Proportional to 468.13, 646.48 and 375.59

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Solution

The fourth proportional to 468.13, 646.48 and 375.59 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.13 : 646.48 = 375.59 : x
  2. Step 2: Convert to fraction form
    468.13/646.48 = 375.59/x
  3. Step 3: Cross multiply
    468.13x = 646.48 × 375.59
  4. Step 4: Simplify right side
    468.13x = 242,811.42
  5. Step 5: Solve for x
    x = 242,811.42/468.13
  6. Step 6: Final answer
    x = 518.68

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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.