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Finding the Fourth Proportional to 335.02, 462.29 and 210.70

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Solution

The fourth proportional to 335.02, 462.29 and 210.70 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.02 : 462.29 = 210.70 : x
  2. Step 2: Convert to fraction form
    335.02/462.29 = 210.70/x
  3. Step 3: Cross multiply
    335.02x = 462.29 × 210.70
  4. Step 4: Simplify right side
    335.02x = 97,404.50
  5. Step 5: Solve for x
    x = 97,404.50/335.02
  6. Step 6: Final answer
    x = 290.74

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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.