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Finding the Fourth Proportional to 665.14, 917.46 and 534.46

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Solution

The fourth proportional to 665.14, 917.46 and 534.46 is: 737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.14 : 917.46 = 534.46 : x
  2. Step 2: Convert to fraction form
    665.14/917.46 = 534.46/x
  3. Step 3: Cross multiply
    665.14x = 917.46 × 534.46
  4. Step 4: Simplify right side
    665.14x = 490,345.67
  5. Step 5: Solve for x
    x = 490,345.67/665.14
  6. Step 6: Final answer
    x = 737.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.