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Finding the Fourth Proportional to 462.19, 693.31 and 202.06

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Solution

The fourth proportional to 462.19, 693.31 and 202.06 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.19 : 693.31 = 202.06 : x
  2. Step 2: Convert to fraction form
    462.19/693.31 = 202.06/x
  3. Step 3: Cross multiply
    462.19x = 693.31 × 202.06
  4. Step 4: Simplify right side
    462.19x = 140,090.11
  5. Step 5: Solve for x
    x = 140,090.11/462.19
  6. Step 6: Final answer
    x = 303.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.