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Finding the Fourth Proportional to 523.02, 784.68 and 457.41

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Solution

The fourth proportional to 523.02, 784.68 and 457.41 is: 686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 784.68 = 457.41 : x
  2. Step 2: Convert to fraction form
    523.02/784.68 = 457.41/x
  3. Step 3: Cross multiply
    523.02x = 784.68 × 457.41
  4. Step 4: Simplify right side
    523.02x = 358,920.48
  5. Step 5: Solve for x
    x = 358,920.48/523.02
  6. Step 6: Final answer
    x = 686.25

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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.