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Finding the Fourth Proportional to 684.17, 944.46 and 463.79

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Solution

The fourth proportional to 684.17, 944.46 and 463.79 is: 640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.17 : 944.46 = 463.79 : x
  2. Step 2: Convert to fraction form
    684.17/944.46 = 463.79/x
  3. Step 3: Cross multiply
    684.17x = 944.46 × 463.79
  4. Step 4: Simplify right side
    684.17x = 438,031.10
  5. Step 5: Solve for x
    x = 438,031.10/684.17
  6. Step 6: Final answer
    x = 640.24

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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.