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Finding the Fourth Proportional to 676.07, 933.06 and 414.02

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Solution

The fourth proportional to 676.07, 933.06 and 414.02 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.07 : 933.06 = 414.02 : x
  2. Step 2: Convert to fraction form
    676.07/933.06 = 414.02/x
  3. Step 3: Cross multiply
    676.07x = 933.06 × 414.02
  4. Step 4: Simplify right side
    676.07x = 386,305.50
  5. Step 5: Solve for x
    x = 386,305.50/676.07
  6. Step 6: Final answer
    x = 571.40

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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.