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Finding the Fourth Proportional to 684.55, 944.31 and 463.60

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Solution

The fourth proportional to 684.55, 944.31 and 463.60 is: 639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.55 : 944.31 = 463.60 : x
  2. Step 2: Convert to fraction form
    684.55/944.31 = 463.60/x
  3. Step 3: Cross multiply
    684.55x = 944.31 × 463.60
  4. Step 4: Simplify right side
    684.55x = 437,782.12
  5. Step 5: Solve for x
    x = 437,782.12/684.55
  6. Step 6: Final answer
    x = 639.52

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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.