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Finding the Fourth Proportional to 482.77, 666.06 and 293.77

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Solution

The fourth proportional to 482.77, 666.06 and 293.77 is: 405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.77 : 666.06 = 293.77 : x
  2. Step 2: Convert to fraction form
    482.77/666.06 = 293.77/x
  3. Step 3: Cross multiply
    482.77x = 666.06 × 293.77
  4. Step 4: Simplify right side
    482.77x = 195,666.98
  5. Step 5: Solve for x
    x = 195,666.98/482.77
  6. Step 6: Final answer
    x = 405.30

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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.