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Finding the Fourth Proportional to 468.34, 646.34 and 258.50

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Solution

The fourth proportional to 468.34, 646.34 and 258.50 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.34 : 646.34 = 258.50 : x
  2. Step 2: Convert to fraction form
    468.34/646.34 = 258.50/x
  3. Step 3: Cross multiply
    468.34x = 646.34 × 258.50
  4. Step 4: Simplify right side
    468.34x = 167,079.21
  5. Step 5: Solve for x
    x = 167,079.21/468.34
  6. Step 6: Final answer
    x = 356.75

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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.