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Finding the Fourth Proportional to 467.48, 645.14 and 260.52

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Solution

The fourth proportional to 467.48, 645.14 and 260.52 is: 359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.48 : 645.14 = 260.52 : x
  2. Step 2: Convert to fraction form
    467.48/645.14 = 260.52/x
  3. Step 3: Cross multiply
    467.48x = 645.14 × 260.52
  4. Step 4: Simplify right side
    467.48x = 168,071.87
  5. Step 5: Solve for x
    x = 168,071.87/467.48
  6. Step 6: Final answer
    x = 359.53

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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.