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Finding the Fourth Proportional to 486.48, 665.41 and 478.92

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Solution

The fourth proportional to 486.48, 665.41 and 478.92 is: 655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.48 : 665.41 = 478.92 : x
  2. Step 2: Convert to fraction form
    486.48/665.41 = 478.92/x
  3. Step 3: Cross multiply
    486.48x = 665.41 × 478.92
  4. Step 4: Simplify right side
    486.48x = 318,678.16
  5. Step 5: Solve for x
    x = 318,678.16/486.48
  6. Step 6: Final answer
    x = 655.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.