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Finding the Fourth Proportional to 510, 703.83 and 300.16

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Solution

The fourth proportional to 510, 703.83 and 300.16 is: 414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 703.83 = 300.16 : x
  2. Step 2: Convert to fraction form
    510/703.83 = 300.16/x
  3. Step 3: Cross multiply
    510x = 703.83 × 300.16
  4. Step 4: Simplify right side
    510x = 211,261.61
  5. Step 5: Solve for x
    x = 211,261.61/510
  6. Step 6: Final answer
    x = 414.24

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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.