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Finding the Fourth Proportional to 567.07, 782.40 and 380.42

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Solution

The fourth proportional to 567.07, 782.40 and 380.42 is: 524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.07 : 782.40 = 380.42 : x
  2. Step 2: Convert to fraction form
    567.07/782.40 = 380.42/x
  3. Step 3: Cross multiply
    567.07x = 782.40 × 380.42
  4. Step 4: Simplify right side
    567.07x = 297,640.61
  5. Step 5: Solve for x
    x = 297,640.61/567.07
  6. Step 6: Final answer
    x = 524.87

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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.