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Finding the Fourth Proportional to 567.72, 847.62 and 506.16

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Solution

The fourth proportional to 567.72, 847.62 and 506.16 is: 755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.72 : 847.62 = 506.16 : x
  2. Step 2: Convert to fraction form
    567.72/847.62 = 506.16/x
  3. Step 3: Cross multiply
    567.72x = 847.62 × 506.16
  4. Step 4: Simplify right side
    567.72x = 429,031.34
  5. Step 5: Solve for x
    x = 429,031.34/567.72
  6. Step 6: Final answer
    x = 755.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.