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Finding the Fourth Proportional to 676.88, 933.98 and 414.98

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Solution

The fourth proportional to 676.88, 933.98 and 414.98 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.88 : 933.98 = 414.98 : x
  2. Step 2: Convert to fraction form
    676.88/933.98 = 414.98/x
  3. Step 3: Cross multiply
    676.88x = 933.98 × 414.98
  4. Step 4: Simplify right side
    676.88x = 387,583.02
  5. Step 5: Solve for x
    x = 387,583.02/676.88
  6. Step 6: Final answer
    x = 572.60

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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.