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Finding the Fourth Proportional to 669.51, 1,004.64 and 361.35

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Solution

The fourth proportional to 669.51, 1,004.64 and 361.35 is: 542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.51 : 1,004.64 = 361.35 : x
  2. Step 2: Convert to fraction form
    669.51/1,004.64 = 361.35/x
  3. Step 3: Cross multiply
    669.51x = 1,004.64 × 361.35
  4. Step 4: Simplify right side
    669.51x = 363,026.66
  5. Step 5: Solve for x
    x = 363,026.66/669.51
  6. Step 6: Final answer
    x = 542.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.