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Finding the Fourth Proportional to 532.64, 735.57 and 367.28

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Solution

The fourth proportional to 532.64, 735.57 and 367.28 is: 507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.64 : 735.57 = 367.28 : x
  2. Step 2: Convert to fraction form
    532.64/735.57 = 367.28/x
  3. Step 3: Cross multiply
    532.64x = 735.57 × 367.28
  4. Step 4: Simplify right side
    532.64x = 270,160.15
  5. Step 5: Solve for x
    x = 270,160.15/532.64
  6. Step 6: Final answer
    x = 507.21

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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.