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Finding the Fourth Proportional to 561.68, 842.64 and 215.00

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Solution

The fourth proportional to 561.68, 842.64 and 215.00 is: 322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 842.64 = 215.00 : x
  2. Step 2: Convert to fraction form
    561.68/842.64 = 215.00/x
  3. Step 3: Cross multiply
    561.68x = 842.64 × 215.00
  4. Step 4: Simplify right side
    561.68x = 181,168.90
  5. Step 5: Solve for x
    x = 181,168.90/561.68
  6. Step 6: Final answer
    x = 322.55

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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.