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Finding the Fourth Proportional to 669.29, 1,004.47 and 284.81

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Solution

The fourth proportional to 669.29, 1,004.47 and 284.81 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.29 : 1,004.47 = 284.81 : x
  2. Step 2: Convert to fraction form
    669.29/1,004.47 = 284.81/x
  3. Step 3: Cross multiply
    669.29x = 1,004.47 × 284.81
  4. Step 4: Simplify right side
    669.29x = 286,077.37
  5. Step 5: Solve for x
    x = 286,077.37/669.29
  6. Step 6: Final answer
    x = 427.44

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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.