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Finding the Fourth Proportional to 510, 703.80 and 335.40

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Solution

The fourth proportional to 510, 703.80 and 335.40 is: 462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 703.80 = 335.40 : x
  2. Step 2: Convert to fraction form
    510/703.80 = 335.40/x
  3. Step 3: Cross multiply
    510x = 703.80 × 335.40
  4. Step 4: Simplify right side
    510x = 236,054.52
  5. Step 5: Solve for x
    x = 236,054.52/510
  6. Step 6: Final answer
    x = 462.85

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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.