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Finding the Fourth Proportional to 685.92, 946.74 and 465.24

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Solution

The fourth proportional to 685.92, 946.74 and 465.24 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.92 : 946.74 = 465.24 : x
  2. Step 2: Convert to fraction form
    685.92/946.74 = 465.24/x
  3. Step 3: Cross multiply
    685.92x = 946.74 × 465.24
  4. Step 4: Simplify right side
    685.92x = 440,461.32
  5. Step 5: Solve for x
    x = 440,461.32/685.92
  6. Step 6: Final answer
    x = 642.15

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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.