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Finding the Fourth Proportional to 360.03, 497.00 and 277.10

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Solution

The fourth proportional to 360.03, 497.00 and 277.10 is: 382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.03 : 497.00 = 277.10 : x
  2. Step 2: Convert to fraction form
    360.03/497.00 = 277.10/x
  3. Step 3: Cross multiply
    360.03x = 497.00 × 277.10
  4. Step 4: Simplify right side
    360.03x = 137,717.31
  5. Step 5: Solve for x
    x = 137,717.31/360.03
  6. Step 6: Final answer
    x = 382.52

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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.