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Finding the Fourth Proportional to 504.54, 695.91 and 463.23

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Solution

The fourth proportional to 504.54, 695.91 and 463.23 is: 638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.54 : 695.91 = 463.23 : x
  2. Step 2: Convert to fraction form
    504.54/695.91 = 463.23/x
  3. Step 3: Cross multiply
    504.54x = 695.91 × 463.23
  4. Step 4: Simplify right side
    504.54x = 322,366.39
  5. Step 5: Solve for x
    x = 322,366.39/504.54
  6. Step 6: Final answer
    x = 638.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.