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Finding the Fourth Proportional to 569.34, 785.77 and 320.74

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Solution

The fourth proportional to 569.34, 785.77 and 320.74 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.34 : 785.77 = 320.74 : x
  2. Step 2: Convert to fraction form
    569.34/785.77 = 320.74/x
  3. Step 3: Cross multiply
    569.34x = 785.77 × 320.74
  4. Step 4: Simplify right side
    569.34x = 252,025.10
  5. Step 5: Solve for x
    x = 252,025.10/569.34
  6. Step 6: Final answer
    x = 442.66

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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.