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Finding the Fourth Proportional to 532.37, 794.88 and 459.20

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Solution

The fourth proportional to 532.37, 794.88 and 459.20 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.37 : 794.88 = 459.20 : x
  2. Step 2: Convert to fraction form
    532.37/794.88 = 459.20/x
  3. Step 3: Cross multiply
    532.37x = 794.88 × 459.20
  4. Step 4: Simplify right side
    532.37x = 365,010.88
  5. Step 5: Solve for x
    x = 365,010.88/532.37
  6. Step 6: Final answer
    x = 685.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.