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Finding the Fourth Proportional to 532.33, 801.87 and 492.25

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Solution

The fourth proportional to 532.33, 801.87 and 492.25 is: 741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.33 : 801.87 = 492.25 : x
  2. Step 2: Convert to fraction form
    532.33/801.87 = 492.25/x
  3. Step 3: Cross multiply
    532.33x = 801.87 × 492.25
  4. Step 4: Simplify right side
    532.33x = 394,720.51
  5. Step 5: Solve for x
    x = 394,720.51/532.33
  6. Step 6: Final answer
    x = 741.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.