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Finding the Fourth Proportional to 560.80, 842.80 and 490.40

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Solution

The fourth proportional to 560.80, 842.80 and 490.40 is: 737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.80 : 842.80 = 490.40 : x
  2. Step 2: Convert to fraction form
    560.80/842.80 = 490.40/x
  3. Step 3: Cross multiply
    560.80x = 842.80 × 490.40
  4. Step 4: Simplify right side
    560.80x = 413,309.12
  5. Step 5: Solve for x
    x = 413,309.12/560.80
  6. Step 6: Final answer
    x = 737.00

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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.