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Finding the Fourth Proportional to 567.80, 851.84 and 307.68

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Solution

The fourth proportional to 567.80, 851.84 and 307.68 is: 461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 851.84 = 307.68 : x
  2. Step 2: Convert to fraction form
    567.80/851.84 = 307.68/x
  3. Step 3: Cross multiply
    567.80x = 851.84 × 307.68
  4. Step 4: Simplify right side
    567.80x = 262,094.90
  5. Step 5: Solve for x
    x = 262,094.90/567.80
  6. Step 6: Final answer
    x = 461.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.