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Finding the Fourth Proportional to 567.14, 782.82 and 401.40

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Solution

The fourth proportional to 567.14, 782.82 and 401.40 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 782.82 = 401.40 : x
  2. Step 2: Convert to fraction form
    567.14/782.82 = 401.40/x
  3. Step 3: Cross multiply
    567.14x = 782.82 × 401.40
  4. Step 4: Simplify right side
    567.14x = 314,223.95
  5. Step 5: Solve for x
    x = 314,223.95/567.14
  6. Step 6: Final answer
    x = 554.05

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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.