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Finding the Fourth Proportional to 467.50, 645.16 and 260.50

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Solution

The fourth proportional to 467.50, 645.16 and 260.50 is: 359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.50 : 645.16 = 260.50 : x
  2. Step 2: Convert to fraction form
    467.50/645.16 = 260.50/x
  3. Step 3: Cross multiply
    467.50x = 645.16 × 260.50
  4. Step 4: Simplify right side
    467.50x = 168,064.18
  5. Step 5: Solve for x
    x = 168,064.18/467.50
  6. Step 6: Final answer
    x = 359.50

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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.