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Finding the Fourth Proportional to 465.89, 642.93 and 256.07

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Solution

The fourth proportional to 465.89, 642.93 and 256.07 is: 353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.89 : 642.93 = 256.07 : x
  2. Step 2: Convert to fraction form
    465.89/642.93 = 256.07/x
  3. Step 3: Cross multiply
    465.89x = 642.93 × 256.07
  4. Step 4: Simplify right side
    465.89x = 164,631.87
  5. Step 5: Solve for x
    x = 164,631.87/465.89
  6. Step 6: Final answer
    x = 353.37

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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.