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Finding the Fourth Proportional to 510.02, 703.80 and 335.34

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Solution

The fourth proportional to 510.02, 703.80 and 335.34 is: 462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.02 : 703.80 = 335.34 : x
  2. Step 2: Convert to fraction form
    510.02/703.80 = 335.34/x
  3. Step 3: Cross multiply
    510.02x = 703.80 × 335.34
  4. Step 4: Simplify right side
    510.02x = 236,012.29
  5. Step 5: Solve for x
    x = 236,012.29/510.02
  6. Step 6: Final answer
    x = 462.76

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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.