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Finding the Fourth Proportional to 676.52, 933.13 and 414.67

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Solution

The fourth proportional to 676.52, 933.13 and 414.67 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.52 : 933.13 = 414.67 : x
  2. Step 2: Convert to fraction form
    676.52/933.13 = 414.67/x
  3. Step 3: Cross multiply
    676.52x = 933.13 × 414.67
  4. Step 4: Simplify right side
    676.52x = 386,941.02
  5. Step 5: Solve for x
    x = 386,941.02/676.52
  6. Step 6: Final answer
    x = 571.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.