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Finding the Fourth Proportional to 561.34, 840.46 and 286.84

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Solution

The fourth proportional to 561.34, 840.46 and 286.84 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.34 : 840.46 = 286.84 : x
  2. Step 2: Convert to fraction form
    561.34/840.46 = 286.84/x
  3. Step 3: Cross multiply
    561.34x = 840.46 × 286.84
  4. Step 4: Simplify right side
    561.34x = 241,076.83
  5. Step 5: Solve for x
    x = 241,076.83/561.34
  6. Step 6: Final answer
    x = 429.47

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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.