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Finding the Fourth Proportional to 539.20, 743.47 and 510.01

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Solution

The fourth proportional to 539.20, 743.47 and 510.01 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.20 : 743.47 = 510.01 : x
  2. Step 2: Convert to fraction form
    539.20/743.47 = 510.01/x
  3. Step 3: Cross multiply
    539.20x = 743.47 × 510.01
  4. Step 4: Simplify right side
    539.20x = 379,173.42
  5. Step 5: Solve for x
    x = 379,173.42/539.20
  6. Step 6: Final answer
    x = 703.21

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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.