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Finding the Fourth Proportional to 489.90, 672.08 and 476.40

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Solution

The fourth proportional to 489.90, 672.08 and 476.40 is: 653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.90 : 672.08 = 476.40 : x
  2. Step 2: Convert to fraction form
    489.90/672.08 = 476.40/x
  3. Step 3: Cross multiply
    489.90x = 672.08 × 476.40
  4. Step 4: Simplify right side
    489.90x = 320,178.91
  5. Step 5: Solve for x
    x = 320,178.91/489.90
  6. Step 6: Final answer
    x = 653.56

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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.