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Finding the Fourth Proportional to 685.67, 946.37 and 436.93

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Solution

The fourth proportional to 685.67, 946.37 and 436.93 is: 603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.67 : 946.37 = 436.93 : x
  2. Step 2: Convert to fraction form
    685.67/946.37 = 436.93/x
  3. Step 3: Cross multiply
    685.67x = 946.37 × 436.93
  4. Step 4: Simplify right side
    685.67x = 413,495.26
  5. Step 5: Solve for x
    x = 413,495.26/685.67
  6. Step 6: Final answer
    x = 603.06

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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.