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Finding the Fourth Proportional to 684.24, 944.64 and 471.87

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Solution

The fourth proportional to 684.24, 944.64 and 471.87 is: 651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 944.64 = 471.87 : x
  2. Step 2: Convert to fraction form
    684.24/944.64 = 471.87/x
  3. Step 3: Cross multiply
    684.24x = 944.64 × 471.87
  4. Step 4: Simplify right side
    684.24x = 445,747.28
  5. Step 5: Solve for x
    x = 445,747.28/684.24
  6. Step 6: Final answer
    x = 651.45

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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.