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Finding the Fourth Proportional to 510.49, 703.65 and 344.64

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Solution

The fourth proportional to 510.49, 703.65 and 344.64 is: 475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.49 : 703.65 = 344.64 : x
  2. Step 2: Convert to fraction form
    510.49/703.65 = 344.64/x
  3. Step 3: Cross multiply
    510.49x = 703.65 × 344.64
  4. Step 4: Simplify right side
    510.49x = 242,505.94
  5. Step 5: Solve for x
    x = 242,505.94/510.49
  6. Step 6: Final answer
    x = 475.05

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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.