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Finding the Fourth Proportional to 510.30, 703.44 and 496.62

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Solution

The fourth proportional to 510.30, 703.44 and 496.62 is: 684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 703.44 = 496.62 : x
  2. Step 2: Convert to fraction form
    510.30/703.44 = 496.62/x
  3. Step 3: Cross multiply
    510.30x = 703.44 × 496.62
  4. Step 4: Simplify right side
    510.30x = 349,342.37
  5. Step 5: Solve for x
    x = 349,342.37/510.30
  6. Step 6: Final answer
    x = 684.58

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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.