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Finding the Fourth Proportional to 362.77, 504.10 and 359.01

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Solution

The fourth proportional to 362.77, 504.10 and 359.01 is: 498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.77 : 504.10 = 359.01 : x
  2. Step 2: Convert to fraction form
    362.77/504.10 = 359.01/x
  3. Step 3: Cross multiply
    362.77x = 504.10 × 359.01
  4. Step 4: Simplify right side
    362.77x = 180,973.89
  5. Step 5: Solve for x
    x = 180,973.89/362.77
  6. Step 6: Final answer
    x = 498.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.