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Finding the Fourth Proportional to 620.50, 931.02 and 457.42

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Solution

The fourth proportional to 620.50, 931.02 and 457.42 is: 686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 931.02 = 457.42 : x
  2. Step 2: Convert to fraction form
    620.50/931.02 = 457.42/x
  3. Step 3: Cross multiply
    620.50x = 931.02 × 457.42
  4. Step 4: Simplify right side
    620.50x = 425,867.17
  5. Step 5: Solve for x
    x = 425,867.17/620.50
  6. Step 6: Final answer
    x = 686.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.