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Finding the Fourth Proportional to 614.07, 846.93 and 496.02

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Solution

The fourth proportional to 614.07, 846.93 and 496.02 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.07 : 846.93 = 496.02 : x
  2. Step 2: Convert to fraction form
    614.07/846.93 = 496.02/x
  3. Step 3: Cross multiply
    614.07x = 846.93 × 496.02
  4. Step 4: Simplify right side
    614.07x = 420,094.22
  5. Step 5: Solve for x
    x = 420,094.22/614.07
  6. Step 6: Final answer
    x = 684.11

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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.