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Finding the Fourth Proportional to 569.06, 785.30 and 320.38

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Solution

The fourth proportional to 569.06, 785.30 and 320.38 is: 442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 785.30 = 320.38 : x
  2. Step 2: Convert to fraction form
    569.06/785.30 = 320.38/x
  3. Step 3: Cross multiply
    569.06x = 785.30 × 320.38
  4. Step 4: Simplify right side
    569.06x = 251,594.41
  5. Step 5: Solve for x
    x = 251,594.41/569.06
  6. Step 6: Final answer
    x = 442.12

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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.