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Finding the Fourth Proportional to 685.83, 946.17 and 386.94

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Solution

The fourth proportional to 685.83, 946.17 and 386.94 is: 533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.83 : 946.17 = 386.94 : x
  2. Step 2: Convert to fraction form
    685.83/946.17 = 386.94/x
  3. Step 3: Cross multiply
    685.83x = 946.17 × 386.94
  4. Step 4: Simplify right side
    685.83x = 366,111.02
  5. Step 5: Solve for x
    x = 366,111.02/685.83
  6. Step 6: Final answer
    x = 533.82

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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.