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Finding the Fourth Proportional to 469.13, 704.16 and 383.45

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Solution

The fourth proportional to 469.13, 704.16 and 383.45 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 704.16 = 383.45 : x
  2. Step 2: Convert to fraction form
    469.13/704.16 = 383.45/x
  3. Step 3: Cross multiply
    469.13x = 704.16 × 383.45
  4. Step 4: Simplify right side
    469.13x = 270,010.15
  5. Step 5: Solve for x
    x = 270,010.15/469.13
  6. Step 6: Final answer
    x = 575.56

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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.