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Finding the Fourth Proportional to 410.07, 566.36 and 277.06

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Solution

The fourth proportional to 410.07, 566.36 and 277.06 is: 382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 566.36 = 277.06 : x
  2. Step 2: Convert to fraction form
    410.07/566.36 = 277.06/x
  3. Step 3: Cross multiply
    410.07x = 566.36 × 277.06
  4. Step 4: Simplify right side
    410.07x = 156,916.59
  5. Step 5: Solve for x
    x = 156,916.59/410.07
  6. Step 6: Final answer
    x = 382.66

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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.