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Finding the Fourth Proportional to 666.46, 918.24 and 497.68

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Solution

The fourth proportional to 666.46, 918.24 and 497.68 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.46 : 918.24 = 497.68 : x
  2. Step 2: Convert to fraction form
    666.46/918.24 = 497.68/x
  3. Step 3: Cross multiply
    666.46x = 918.24 × 497.68
  4. Step 4: Simplify right side
    666.46x = 456,989.68
  5. Step 5: Solve for x
    x = 456,989.68/666.46
  6. Step 6: Final answer
    x = 685.70

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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.