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Finding the Fourth Proportional to 478.59, 660.57 and 292.23

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Solution

The fourth proportional to 478.59, 660.57 and 292.23 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.59 : 660.57 = 292.23 : x
  2. Step 2: Convert to fraction form
    478.59/660.57 = 292.23/x
  3. Step 3: Cross multiply
    478.59x = 660.57 × 292.23
  4. Step 4: Simplify right side
    478.59x = 193,038.37
  5. Step 5: Solve for x
    x = 193,038.37/478.59
  6. Step 6: Final answer
    x = 403.35

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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.