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Finding the Fourth Proportional to 466.34, 699.80 and 293.00

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Solution

The fourth proportional to 466.34, 699.80 and 293.00 is: 439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.34 : 699.80 = 293.00 : x
  2. Step 2: Convert to fraction form
    466.34/699.80 = 293.00/x
  3. Step 3: Cross multiply
    466.34x = 699.80 × 293.00
  4. Step 4: Simplify right side
    466.34x = 205,036.44
  5. Step 5: Solve for x
    x = 205,036.44/466.34
  6. Step 6: Final answer
    x = 439.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.