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Finding the Fourth Proportional to 938.23, 1,407.85 and 353.63

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Solution

The fourth proportional to 938.23, 1,407.85 and 353.63 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.23 : 1,407.85 = 353.63 : x
  2. Step 2: Convert to fraction form
    938.23/1,407.85 = 353.63/x
  3. Step 3: Cross multiply
    938.23x = 1,407.85 × 353.63
  4. Step 4: Simplify right side
    938.23x = 497,858.00
  5. Step 5: Solve for x
    x = 497,858.00/938.23
  6. Step 6: Final answer
    x = 530.64

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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.