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Finding the Fourth Proportional to 523.84, 785.11 and 458.68

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Solution

The fourth proportional to 523.84, 785.11 and 458.68 is: 687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 785.11 = 458.68 : x
  2. Step 2: Convert to fraction form
    523.84/785.11 = 458.68/x
  3. Step 3: Cross multiply
    523.84x = 785.11 × 458.68
  4. Step 4: Simplify right side
    523.84x = 360,114.25
  5. Step 5: Solve for x
    x = 360,114.25/523.84
  6. Step 6: Final answer
    x = 687.45

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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.