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Finding the Fourth Proportional to 567.16, 850.74 and 307.16

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Solution

The fourth proportional to 567.16, 850.74 and 307.16 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.16 : 850.74 = 307.16 : x
  2. Step 2: Convert to fraction form
    567.16/850.74 = 307.16/x
  3. Step 3: Cross multiply
    567.16x = 850.74 × 307.16
  4. Step 4: Simplify right side
    567.16x = 261,313.30
  5. Step 5: Solve for x
    x = 261,313.30/567.16
  6. Step 6: Final answer
    x = 460.74

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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.