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Finding the Fourth Proportional to 569.06, 785.10 and 320.34

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Solution

The fourth proportional to 569.06, 785.10 and 320.34 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 785.10 = 320.34 : x
  2. Step 2: Convert to fraction form
    569.06/785.10 = 320.34/x
  3. Step 3: Cross multiply
    569.06x = 785.10 × 320.34
  4. Step 4: Simplify right side
    569.06x = 251,498.93
  5. Step 5: Solve for x
    x = 251,498.93/569.06
  6. Step 6: Final answer
    x = 441.96

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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.