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Finding the Fourth Proportional to 468.19, 646.07 and 258.32

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Solution

The fourth proportional to 468.19, 646.07 and 258.32 is: 356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 646.07 = 258.32 : x
  2. Step 2: Convert to fraction form
    468.19/646.07 = 258.32/x
  3. Step 3: Cross multiply
    468.19x = 646.07 × 258.32
  4. Step 4: Simplify right side
    468.19x = 166,892.83
  5. Step 5: Solve for x
    x = 166,892.83/468.19
  6. Step 6: Final answer
    x = 356.46

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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.