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Finding the Fourth Proportional to 569.76, 786.18 and 382.95

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Solution

The fourth proportional to 569.76, 786.18 and 382.95 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 786.18 = 382.95 : x
  2. Step 2: Convert to fraction form
    569.76/786.18 = 382.95/x
  3. Step 3: Cross multiply
    569.76x = 786.18 × 382.95
  4. Step 4: Simplify right side
    569.76x = 301,070.20
  5. Step 5: Solve for x
    x = 301,070.20/569.76
  6. Step 6: Final answer
    x = 528.42

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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.