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Finding the Fourth Proportional to 567.55, 854.67 and 510.44

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Solution

The fourth proportional to 567.55, 854.67 and 510.44 is: 768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.55 : 854.67 = 510.44 : x
  2. Step 2: Convert to fraction form
    567.55/854.67 = 510.44/x
  3. Step 3: Cross multiply
    567.55x = 854.67 × 510.44
  4. Step 4: Simplify right side
    567.55x = 436,259.89
  5. Step 5: Solve for x
    x = 436,259.89/567.55
  6. Step 6: Final answer
    x = 768.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.