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Finding the Fourth Proportional to 684.10, 943.68 and 463.06

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Solution

The fourth proportional to 684.10, 943.68 and 463.06 is: 638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 943.68 = 463.06 : x
  2. Step 2: Convert to fraction form
    684.10/943.68 = 463.06/x
  3. Step 3: Cross multiply
    684.10x = 943.68 × 463.06
  4. Step 4: Simplify right side
    684.10x = 436,980.46
  5. Step 5: Solve for x
    x = 436,980.46/684.10
  6. Step 6: Final answer
    x = 638.77

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Double scale
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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.