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Finding the Fourth Proportional to 523.75, 783.45 and 465.23

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Solution

The fourth proportional to 523.75, 783.45 and 465.23 is: 695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.75 : 783.45 = 465.23 : x
  2. Step 2: Convert to fraction form
    523.75/783.45 = 465.23/x
  3. Step 3: Cross multiply
    523.75x = 783.45 × 465.23
  4. Step 4: Simplify right side
    523.75x = 364,484.44
  5. Step 5: Solve for x
    x = 364,484.44/523.75
  6. Step 6: Final answer
    x = 695.91

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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.