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Finding the Fourth Proportional to 510.99, 703.13 and 440.73

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Solution

The fourth proportional to 510.99, 703.13 and 440.73 is: 606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.99 : 703.13 = 440.73 : x
  2. Step 2: Convert to fraction form
    510.99/703.13 = 440.73/x
  3. Step 3: Cross multiply
    510.99x = 703.13 × 440.73
  4. Step 4: Simplify right side
    510.99x = 309,888.28
  5. Step 5: Solve for x
    x = 309,888.28/510.99
  6. Step 6: Final answer
    x = 606.45

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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.