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Finding the Fourth Proportional to 466.10, 698.93 and 260.31

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Solution

The fourth proportional to 466.10, 698.93 and 260.31 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.10 : 698.93 = 260.31 : x
  2. Step 2: Convert to fraction form
    466.10/698.93 = 260.31/x
  3. Step 3: Cross multiply
    466.10x = 698.93 × 260.31
  4. Step 4: Simplify right side
    466.10x = 181,940.76
  5. Step 5: Solve for x
    x = 181,940.76/466.10
  6. Step 6: Final answer
    x = 390.34

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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.