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Finding the Fourth Proportional to 462.14, 637.70 and 263.00

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Solution

The fourth proportional to 462.14, 637.70 and 263.00 is: 362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 637.70 = 263.00 : x
  2. Step 2: Convert to fraction form
    462.14/637.70 = 263.00/x
  3. Step 3: Cross multiply
    462.14x = 637.70 × 263.00
  4. Step 4: Simplify right side
    462.14x = 167,710.60
  5. Step 5: Solve for x
    x = 167,710.60/462.14
  6. Step 6: Final answer
    x = 362.90

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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.