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Finding the Fourth Proportional to 685.68, 946.56 and 464.64

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Solution

The fourth proportional to 685.68, 946.56 and 464.64 is: 641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 946.56 = 464.64 : x
  2. Step 2: Convert to fraction form
    685.68/946.56 = 464.64/x
  3. Step 3: Cross multiply
    685.68x = 946.56 × 464.64
  4. Step 4: Simplify right side
    685.68x = 439,809.64
  5. Step 5: Solve for x
    x = 439,809.64/685.68
  6. Step 6: Final answer
    x = 641.42

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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.