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Finding the Fourth Proportional to 569.29, 785.52 and 320.62

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Solution

The fourth proportional to 569.29, 785.52 and 320.62 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.29 : 785.52 = 320.62 : x
  2. Step 2: Convert to fraction form
    569.29/785.52 = 320.62/x
  3. Step 3: Cross multiply
    569.29x = 785.52 × 320.62
  4. Step 4: Simplify right side
    569.29x = 251,853.42
  5. Step 5: Solve for x
    x = 251,853.42/569.29
  6. Step 6: Final answer
    x = 442.40

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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.