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Finding the Fourth Proportional to 612.56, 917.84 and 562.24

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Solution

The fourth proportional to 612.56, 917.84 and 562.24 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.56 : 917.84 = 562.24 : x
  2. Step 2: Convert to fraction form
    612.56/917.84 = 562.24/x
  3. Step 3: Cross multiply
    612.56x = 917.84 × 562.24
  4. Step 4: Simplify right side
    612.56x = 516,046.36
  5. Step 5: Solve for x
    x = 516,046.36/612.56
  6. Step 6: Final answer
    x = 842.44

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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.