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Finding the Fourth Proportional to 612.46, 917.53 and 338.68

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Solution

The fourth proportional to 612.46, 917.53 and 338.68 is: 507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.46 : 917.53 = 338.68 : x
  2. Step 2: Convert to fraction form
    612.46/917.53 = 338.68/x
  3. Step 3: Cross multiply
    612.46x = 917.53 × 338.68
  4. Step 4: Simplify right side
    612.46x = 310,749.36
  5. Step 5: Solve for x
    x = 310,749.36/612.46
  6. Step 6: Final answer
    x = 507.38

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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.