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Finding the Fourth Proportional to 368.31, 504.96 and 362.64

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Solution

The fourth proportional to 368.31, 504.96 and 362.64 is: 497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.31 : 504.96 = 362.64 : x
  2. Step 2: Convert to fraction form
    368.31/504.96 = 362.64/x
  3. Step 3: Cross multiply
    368.31x = 504.96 × 362.64
  4. Step 4: Simplify right side
    368.31x = 183,118.69
  5. Step 5: Solve for x
    x = 183,118.69/368.31
  6. Step 6: Final answer
    x = 497.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.