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Finding the Fourth Proportional to 567.33, 783.71 and 438

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Solution

The fourth proportional to 567.33, 783.71 and 438 is: 605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.33 : 783.71 = 438 : x
  2. Step 2: Convert to fraction form
    567.33/783.71 = 438/x
  3. Step 3: Cross multiply
    567.33x = 783.71 × 438
  4. Step 4: Simplify right side
    567.33x = 343,264.98
  5. Step 5: Solve for x
    x = 343,264.98/567.33
  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.