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Finding the Fourth Proportional to 614.28, 846.80 and 503.58

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Solution

The fourth proportional to 614.28, 846.80 and 503.58 is: 694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.28 : 846.80 = 503.58 : x
  2. Step 2: Convert to fraction form
    614.28/846.80 = 503.58/x
  3. Step 3: Cross multiply
    614.28x = 846.80 × 503.58
  4. Step 4: Simplify right side
    614.28x = 426,431.54
  5. Step 5: Solve for x
    x = 426,431.54/614.28
  6. Step 6: Final answer
    x = 694.20

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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.