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Finding the Fourth Proportional to 676.18, 933.18 and 414.16

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Solution

The fourth proportional to 676.18, 933.18 and 414.16 is: 571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.18 : 933.18 = 414.16 : x
  2. Step 2: Convert to fraction form
    676.18/933.18 = 414.16/x
  3. Step 3: Cross multiply
    676.18x = 933.18 × 414.16
  4. Step 4: Simplify right side
    676.18x = 386,485.83
  5. Step 5: Solve for x
    x = 386,485.83/676.18
  6. Step 6: Final answer
    x = 571.57

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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.