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Finding the Fourth Proportional to 579.17, 798.98 and 380.00

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Solution

The fourth proportional to 579.17, 798.98 and 380.00 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.17 : 798.98 = 380.00 : x
  2. Step 2: Convert to fraction form
    579.17/798.98 = 380.00/x
  3. Step 3: Cross multiply
    579.17x = 798.98 × 380.00
  4. Step 4: Simplify right side
    579.17x = 303,606.51
  5. Step 5: Solve for x
    x = 303,606.51/579.17
  6. Step 6: Final answer
    x = 524.21

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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.