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Finding the Fourth Proportional to 560.35, 839.80 and 286.54

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Solution

The fourth proportional to 560.35, 839.80 and 286.54 is: 429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.35 : 839.80 = 286.54 : x
  2. Step 2: Convert to fraction form
    560.35/839.80 = 286.54/x
  3. Step 3: Cross multiply
    560.35x = 839.80 × 286.54
  4. Step 4: Simplify right side
    560.35x = 240,634.55
  5. Step 5: Solve for x
    x = 240,634.55/560.35
  6. Step 6: Final answer
    x = 429.44

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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.