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Finding the Fourth Proportional to 685.65, 946.20 and 390.91

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Solution

The fourth proportional to 685.65, 946.20 and 390.91 is: 539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.65 : 946.20 = 390.91 : x
  2. Step 2: Convert to fraction form
    685.65/946.20 = 390.91/x
  3. Step 3: Cross multiply
    685.65x = 946.20 × 390.91
  4. Step 4: Simplify right side
    685.65x = 369,877.09
  5. Step 5: Solve for x
    x = 369,877.09/685.65
  6. Step 6: Final answer
    x = 539.45

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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.