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Finding the Fourth Proportional to 569.96, 786.53 and 345.90

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Solution

The fourth proportional to 569.96, 786.53 and 345.90 is: 477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 786.53 = 345.90 : x
  2. Step 2: Convert to fraction form
    569.96/786.53 = 345.90/x
  3. Step 3: Cross multiply
    569.96x = 786.53 × 345.90
  4. Step 4: Simplify right side
    569.96x = 272,061.59
  5. Step 5: Solve for x
    x = 272,061.59/569.96
  6. Step 6: Final answer
    x = 477.34

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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.