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Finding the Fourth Proportional to 567.78, 783.27 and 365.70

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Solution

The fourth proportional to 567.78, 783.27 and 365.70 is: 504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 783.27 = 365.70 : x
  2. Step 2: Convert to fraction form
    567.78/783.27 = 365.70/x
  3. Step 3: Cross multiply
    567.78x = 783.27 × 365.70
  4. Step 4: Simplify right side
    567.78x = 286,441.84
  5. Step 5: Solve for x
    x = 286,441.84/567.78
  6. Step 6: Final answer
    x = 504.49

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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.