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Finding the Fourth Proportional to 675.16, 930.60 and 535.02

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Solution

The fourth proportional to 675.16, 930.60 and 535.02 is: 737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.16 : 930.60 = 535.02 : x
  2. Step 2: Convert to fraction form
    675.16/930.60 = 535.02/x
  3. Step 3: Cross multiply
    675.16x = 930.60 × 535.02
  4. Step 4: Simplify right side
    675.16x = 497,889.61
  5. Step 5: Solve for x
    x = 497,889.61/675.16
  6. Step 6: Final answer
    x = 737.44

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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.