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Finding the Fourth Proportional to 567.22, 782.74 and 315.14

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Solution

The fourth proportional to 567.22, 782.74 and 315.14 is: 434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.22 : 782.74 = 315.14 : x
  2. Step 2: Convert to fraction form
    567.22/782.74 = 315.14/x
  3. Step 3: Cross multiply
    567.22x = 782.74 × 315.14
  4. Step 4: Simplify right side
    567.22x = 246,667.19
  5. Step 5: Solve for x
    x = 246,667.19/567.22
  6. Step 6: Final answer
    x = 434.87

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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.