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Finding the Fourth Proportional to 462.08, 637.70 and 265.60

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Solution

The fourth proportional to 462.08, 637.70 and 265.60 is: 366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.08 : 637.70 = 265.60 : x
  2. Step 2: Convert to fraction form
    462.08/637.70 = 265.60/x
  3. Step 3: Cross multiply
    462.08x = 637.70 × 265.60
  4. Step 4: Simplify right side
    462.08x = 169,373.12
  5. Step 5: Solve for x
    x = 169,373.12/462.08
  6. Step 6: Final answer
    x = 366.55

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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.