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Finding the Fourth Proportional to 477.40, 716.55 and 295.15

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Solution

The fourth proportional to 477.40, 716.55 and 295.15 is: 443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 716.55 = 295.15 : x
  2. Step 2: Convert to fraction form
    477.40/716.55 = 295.15/x
  3. Step 3: Cross multiply
    477.40x = 716.55 × 295.15
  4. Step 4: Simplify right side
    477.40x = 211,489.73
  5. Step 5: Solve for x
    x = 211,489.73/477.40
  6. Step 6: Final answer
    x = 443.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.