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Finding the Fourth Proportional to 676.60, 933.55 and 410.98

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Solution

The fourth proportional to 676.60, 933.55 and 410.98 is: 567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 933.55 = 410.98 : x
  2. Step 2: Convert to fraction form
    676.60/933.55 = 410.98/x
  3. Step 3: Cross multiply
    676.60x = 933.55 × 410.98
  4. Step 4: Simplify right side
    676.60x = 383,670.38
  5. Step 5: Solve for x
    x = 383,670.38/676.60
  6. Step 6: Final answer
    x = 567.06

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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.