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Finding the Fourth Proportional to 569.49, 785.80 and 320.76

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Solution

The fourth proportional to 569.49, 785.80 and 320.76 is: 442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 785.80 = 320.76 : x
  2. Step 2: Convert to fraction form
    569.49/785.80 = 320.76/x
  3. Step 3: Cross multiply
    569.49x = 785.80 × 320.76
  4. Step 4: Simplify right side
    569.49x = 252,053.61
  5. Step 5: Solve for x
    x = 252,053.61/569.49
  6. Step 6: Final answer
    x = 442.60

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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.