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Finding the Fourth Proportional to 462.07, 637.56 and 275.50

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Solution

The fourth proportional to 462.07, 637.56 and 275.50 is: 380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.07 : 637.56 = 275.50 : x
  2. Step 2: Convert to fraction form
    462.07/637.56 = 275.50/x
  3. Step 3: Cross multiply
    462.07x = 637.56 × 275.50
  4. Step 4: Simplify right side
    462.07x = 175,647.78
  5. Step 5: Solve for x
    x = 175,647.78/462.07
  6. Step 6: Final answer
    x = 380.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.