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Finding the Fourth Proportional to 569.14, 785.62 and 438.52

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Solution

The fourth proportional to 569.14, 785.62 and 438.52 is: 605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.14 : 785.62 = 438.52 : x
  2. Step 2: Convert to fraction form
    569.14/785.62 = 438.52/x
  3. Step 3: Cross multiply
    569.14x = 785.62 × 438.52
  4. Step 4: Simplify right side
    569.14x = 344,510.08
  5. Step 5: Solve for x
    x = 344,510.08/569.14
  6. Step 6: Final answer
    x = 605.32

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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.