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Finding the Fourth Proportional to 532.64, 735.60 and 435.44

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Solution

The fourth proportional to 532.64, 735.60 and 435.44 is: 601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.64 : 735.60 = 435.44 : x
  2. Step 2: Convert to fraction form
    532.64/735.60 = 435.44/x
  3. Step 3: Cross multiply
    532.64x = 735.60 × 435.44
  4. Step 4: Simplify right side
    532.64x = 320,309.66
  5. Step 5: Solve for x
    x = 320,309.66/532.64
  6. Step 6: Final answer
    x = 601.36

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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.