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Finding the Fourth Proportional to 569.76, 786.16 and 336.76

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Solution

The fourth proportional to 569.76, 786.16 and 336.76 is: 464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 786.16 = 336.76 : x
  2. Step 2: Convert to fraction form
    569.76/786.16 = 336.76/x
  3. Step 3: Cross multiply
    569.76x = 786.16 × 336.76
  4. Step 4: Simplify right side
    569.76x = 264,747.24
  5. Step 5: Solve for x
    x = 264,747.24/569.76
  6. Step 6: Final answer
    x = 464.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.