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Finding the Fourth Proportional to 523.08, 783.90 and 442.08

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Solution

The fourth proportional to 523.08, 783.90 and 442.08 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 783.90 = 442.08 : x
  2. Step 2: Convert to fraction form
    523.08/783.90 = 442.08/x
  3. Step 3: Cross multiply
    523.08x = 783.90 × 442.08
  4. Step 4: Simplify right side
    523.08x = 346,546.51
  5. Step 5: Solve for x
    x = 346,546.51/523.08
  6. Step 6: Final answer
    x = 662.51

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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.