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Finding the Fourth Proportional to 675.37, 932.52 and 465.81

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Solution

The fourth proportional to 675.37, 932.52 and 465.81 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.37 : 932.52 = 465.81 : x
  2. Step 2: Convert to fraction form
    675.37/932.52 = 465.81/x
  3. Step 3: Cross multiply
    675.37x = 932.52 × 465.81
  4. Step 4: Simplify right side
    675.37x = 434,377.14
  5. Step 5: Solve for x
    x = 434,377.14/675.37
  6. Step 6: Final answer
    x = 643.17

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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.