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Finding the Fourth Proportional to 569.23, 785.40 and 320.46

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Solution

The fourth proportional to 569.23, 785.40 and 320.46 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.23 : 785.40 = 320.46 : x
  2. Step 2: Convert to fraction form
    569.23/785.40 = 320.46/x
  3. Step 3: Cross multiply
    569.23x = 785.40 × 320.46
  4. Step 4: Simplify right side
    569.23x = 251,685.14
  5. Step 5: Solve for x
    x = 251,685.14/569.23
  6. Step 6: Final answer
    x = 442.15

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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.