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Finding the Fourth Proportional to 567.87, 852.38 and 307.86

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Solution

The fourth proportional to 567.87, 852.38 and 307.86 is: 462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 852.38 = 307.86 : x
  2. Step 2: Convert to fraction form
    567.87/852.38 = 307.86/x
  3. Step 3: Cross multiply
    567.87x = 852.38 × 307.86
  4. Step 4: Simplify right side
    567.87x = 262,412.17
  5. Step 5: Solve for x
    x = 262,412.17/567.87
  6. Step 6: Final answer
    x = 462.10

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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.