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Finding the Fourth Proportional to 504.45, 695.61 and 336.15

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Solution

The fourth proportional to 504.45, 695.61 and 336.15 is: 463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.45 : 695.61 = 336.15 : x
  2. Step 2: Convert to fraction form
    504.45/695.61 = 336.15/x
  3. Step 3: Cross multiply
    504.45x = 695.61 × 336.15
  4. Step 4: Simplify right side
    504.45x = 233,829.30
  5. Step 5: Solve for x
    x = 233,829.30/504.45
  6. Step 6: Final answer
    x = 463.53

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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.