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Finding the Fourth Proportional to 569.13, 785.26 and 320.40

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Solution

The fourth proportional to 569.13, 785.26 and 320.40 is: 442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 785.26 = 320.40 : x
  2. Step 2: Convert to fraction form
    569.13/785.26 = 320.40/x
  3. Step 3: Cross multiply
    569.13x = 785.26 × 320.40
  4. Step 4: Simplify right side
    569.13x = 251,597.30
  5. Step 5: Solve for x
    x = 251,597.30/569.13
  6. Step 6: Final answer
    x = 442.07

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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.