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Finding the Fourth Proportional to 532.81, 735.25 and 375.51

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Solution

The fourth proportional to 532.81, 735.25 and 375.51 is: 518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.81 : 735.25 = 375.51 : x
  2. Step 2: Convert to fraction form
    532.81/735.25 = 375.51/x
  3. Step 3: Cross multiply
    532.81x = 735.25 × 375.51
  4. Step 4: Simplify right side
    532.81x = 276,090.05
  5. Step 5: Solve for x
    x = 276,090.05/532.81
  6. Step 6: Final answer
    x = 518.18

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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.