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Finding the Fourth Proportional to 685.71, 946.17 and 437.09

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Solution

The fourth proportional to 685.71, 946.17 and 437.09 is: 603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.71 : 946.17 = 437.09 : x
  2. Step 2: Convert to fraction form
    685.71/946.17 = 437.09/x
  3. Step 3: Cross multiply
    685.71x = 946.17 × 437.09
  4. Step 4: Simplify right side
    685.71x = 413,556.71
  5. Step 5: Solve for x
    x = 413,556.71/685.71
  6. Step 6: Final answer
    x = 603.11

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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.