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Finding the Fourth Proportional to 567.60, 783.48 and 371.16

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Solution

The fourth proportional to 567.60, 783.48 and 371.16 is: 512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 783.48 = 371.16 : x
  2. Step 2: Convert to fraction form
    567.60/783.48 = 371.16/x
  3. Step 3: Cross multiply
    567.60x = 783.48 × 371.16
  4. Step 4: Simplify right side
    567.60x = 290,796.44
  5. Step 5: Solve for x
    x = 290,796.44/567.60
  6. Step 6: Final answer
    x = 512.33

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Why These Related Problems?

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