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Finding the Fourth Proportional to 569.13, 784.38 and 438.45

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Solution

The fourth proportional to 569.13, 784.38 and 438.45 is: 604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 784.38 = 438.45 : x
  2. Step 2: Convert to fraction form
    569.13/784.38 = 438.45/x
  3. Step 3: Cross multiply
    569.13x = 784.38 × 438.45
  4. Step 4: Simplify right side
    569.13x = 343,911.41
  5. Step 5: Solve for x
    x = 343,911.41/569.13
  6. Step 6: Final answer
    x = 604.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.