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Finding the Fourth Proportional to 561.96, 841.80 and 416.15

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Solution

The fourth proportional to 561.96, 841.80 and 416.15 is: 623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 841.80 = 416.15 : x
  2. Step 2: Convert to fraction form
    561.96/841.80 = 416.15/x
  3. Step 3: Cross multiply
    561.96x = 841.80 × 416.15
  4. Step 4: Simplify right side
    561.96x = 350,310.86
  5. Step 5: Solve for x
    x = 350,310.86/561.96
  6. Step 6: Final answer
    x = 623.37

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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.