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Finding the Fourth Proportional to 685.68, 946.80 and 465.36

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Solution

The fourth proportional to 685.68, 946.80 and 465.36 is: 642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 946.80 = 465.36 : x
  2. Step 2: Convert to fraction form
    685.68/946.80 = 465.36/x
  3. Step 3: Cross multiply
    685.68x = 946.80 × 465.36
  4. Step 4: Simplify right side
    685.68x = 440,602.85
  5. Step 5: Solve for x
    x = 440,602.85/685.68
  6. Step 6: Final answer
    x = 642.58

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Half scale
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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.