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Finding the Fourth Proportional to 567.84, 851.78 and 308.08

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Solution

The fourth proportional to 567.84, 851.78 and 308.08 is: 462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 851.78 = 308.08 : x
  2. Step 2: Convert to fraction form
    567.84/851.78 = 308.08/x
  3. Step 3: Cross multiply
    567.84x = 851.78 × 308.08
  4. Step 4: Simplify right side
    567.84x = 262,416.38
  5. Step 5: Solve for x
    x = 262,416.38/567.84
  6. Step 6: Final answer
    x = 462.13

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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.