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Finding the Fourth Proportional to 510.02, 703.64 and 335.46

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Solution

The fourth proportional to 510.02, 703.64 and 335.46 is: 462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.02 : 703.64 = 335.46 : x
  2. Step 2: Convert to fraction form
    510.02/703.64 = 335.46/x
  3. Step 3: Cross multiply
    510.02x = 703.64 × 335.46
  4. Step 4: Simplify right side
    510.02x = 236,043.07
  5. Step 5: Solve for x
    x = 236,043.07/510.02
  6. Step 6: Final answer
    x = 462.81

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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.