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Finding the Fourth Proportional to 676.92, 933.45 and 477.92

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Solution

The fourth proportional to 676.92, 933.45 and 477.92 is: 659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 933.45 = 477.92 : x
  2. Step 2: Convert to fraction form
    676.92/933.45 = 477.92/x
  3. Step 3: Cross multiply
    676.92x = 933.45 × 477.92
  4. Step 4: Simplify right side
    676.92x = 446,114.42
  5. Step 5: Solve for x
    x = 446,114.42/676.92
  6. Step 6: Final answer
    x = 659.04

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1.5x scale

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.