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Finding the Fourth Proportional to 685.90, 946.24 and 424.06

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Solution

The fourth proportional to 685.90, 946.24 and 424.06 is: 585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.90 : 946.24 = 424.06 : x
  2. Step 2: Convert to fraction form
    685.90/946.24 = 424.06/x
  3. Step 3: Cross multiply
    685.90x = 946.24 × 424.06
  4. Step 4: Simplify right side
    685.90x = 401,262.53
  5. Step 5: Solve for x
    x = 401,262.53/685.90
  6. Step 6: Final answer
    x = 585.02

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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.