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Finding the Fourth Proportional to 468.09, 646.25 and 312.93

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Solution

The fourth proportional to 468.09, 646.25 and 312.93 is: 432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.09 : 646.25 = 312.93 : x
  2. Step 2: Convert to fraction form
    468.09/646.25 = 312.93/x
  3. Step 3: Cross multiply
    468.09x = 646.25 × 312.93
  4. Step 4: Simplify right side
    468.09x = 202,229.45
  5. Step 5: Solve for x
    x = 202,229.45/468.09
  6. Step 6: Final answer
    x = 432.03

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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.