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Finding the Fourth Proportional to 569.48, 786.24 and 438.24

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Solution

The fourth proportional to 569.48, 786.24 and 438.24 is: 605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 786.24 = 438.24 : x
  2. Step 2: Convert to fraction form
    569.48/786.24 = 438.24/x
  3. Step 3: Cross multiply
    569.48x = 786.24 × 438.24
  4. Step 4: Simplify right side
    569.48x = 344,561.82
  5. Step 5: Solve for x
    x = 344,561.82/569.48
  6. Step 6: Final answer
    x = 605.05

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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.