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Finding the Fourth Proportional to 560.96, 841.71 and 236.29

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Solution

The fourth proportional to 560.96, 841.71 and 236.29 is: 354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.96 : 841.71 = 236.29 : x
  2. Step 2: Convert to fraction form
    560.96/841.71 = 236.29/x
  3. Step 3: Cross multiply
    560.96x = 841.71 × 236.29
  4. Step 4: Simplify right side
    560.96x = 198,883.45
  5. Step 5: Solve for x
    x = 198,883.45/560.96
  6. Step 6: Final answer
    x = 354.54

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Why These Related Problems?

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