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Finding the Fourth Proportional to 569.17, 785.43 and 320.50

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Solution

The fourth proportional to 569.17, 785.43 and 320.50 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.17 : 785.43 = 320.50 : x
  2. Step 2: Convert to fraction form
    569.17/785.43 = 320.50/x
  3. Step 3: Cross multiply
    569.17x = 785.43 × 320.50
  4. Step 4: Simplify right side
    569.17x = 251,730.32
  5. Step 5: Solve for x
    x = 251,730.32/569.17
  6. Step 6: Final answer
    x = 442.28

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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.