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Finding the Fourth Proportional to 523.04, 779.99 and 458.34

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Solution

The fourth proportional to 523.04, 779.99 and 458.34 is: 683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 779.99 = 458.34 : x
  2. Step 2: Convert to fraction form
    523.04/779.99 = 458.34/x
  3. Step 3: Cross multiply
    523.04x = 779.99 × 458.34
  4. Step 4: Simplify right side
    523.04x = 357,499.47
  5. Step 5: Solve for x
    x = 357,499.47/523.04
  6. Step 6: Final answer
    x = 683.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.